2024
Chapter in Book - Research
Frauendiener, J., & Vultaggio, S. (2024). LISA: Global space science and New Zealand's contribution. In M. A. Pozza (Ed.), Ascending to space: Space law and policy. (pp. 207-228). Singapore: Springer Nature. doi: 10.1007/978-981-97-0714-0_10
Journal - Research Article
De Leon, E. B., Frauendiener, J., & Klein, C. (2024). Visualisation of counter-rotating dust disks using ray tracing methods. Classical & Quantum Gravity, 41, 155005. doi: 10.1088/1361-6382/ad58cb
Frauendiener, J., Goodenbour, A., & Stevens, C. (2024). The non-linear perturbation of a black hole by gravitational waves. III. Newman-Penrose constants. Classical & Quantum Gravity, 41, 065005. doi: 10.1088/1361-6382/ad2288
Conference Contribution - Published proceedings: Abstract
Frauendiener, J. (2024). Gravitational waves: A conceptual introduction. Proceedings of the 6th Australasian Conference on Wave Science (KOZWaves). (pp. 15). Retrieved from https://www.otago.ac.nz/news/events/kozwaves-2024-the-6th-australasian-conference-on-wave-science2
2023
Journal - Research Article
Barboza Rossetto, P. H., Frauendiener, J., Brunet, R., & Melatos, A. (2023). Magnetically confined mountains on accreting neutron stars in general relativity. Monthly Notices of the Royal Astronomical Society, 526, 2058-2066. doi: 10.1093/mnras/stad2850
2022
Journal - Research Article
Arun, K. G., Belgacem, E., Benkel, R., Bernard, L., Berti, E., Bertone, G., … Frauendiener, J., … Hennig, J., … Zumalacárregui, M. (2022). New horizons for fundamental physics with LISA. Living Reviews in Relativity, 25, 4. doi: 10.1007/s41114-022-00036-9
Frauendiener, J., Klein, C., Muhammad, U., & Stoilov, N. (2022). Numerical study of Davey–Stewartson I systems. Studies in Applied Mathematics, 149, 76-94. doi: 10.1111/sapm.12491
Frauendiener, J., & Stevens, C. (2022). A new look at the Bondi-Sachs energy-momentum. Classical & Quantum Gravity, 39(2), 025007. doi: 10.1088/1361-6382/ac3e4f
Conference Contribution - Published proceedings: Abstract
Frauendiener, J. (2022). DWC abstract. Proceedings of the Dodd-Walls Centre Dunedin Symposium. Retrieved from https://www.doddwalls.ac.nz/events
Hennig, J., Frauendiener, J., & Macedo, R. P. (2022). The conformally invariant wave equation near spacelike infinity on Minkowski, Schwarzschild and Kerr. Proceedings of the Australasian Society for General Relativity & Gravitation (ASGRG) 11th Australasian Conference on General Relativity & Gravitation. Retrieved from https://www.asgrg2021.org/
Conference Contribution - Verbal presentation and other Conference outputs
Frauendiener, J. (2022, July). LISA: New Zealand and European collaboration in outer space. Invited presentation at the 56th Otago Foreign Policy School: Ascending into space: New Zealand's role as a space-faring nation, Dunedin, New Zealand.
2021
Journal - Research Article
Frauendiener, J., & Stevens, C. (2021). The non-linear perturbation of a black hole by gravitational waves. I. The Bondi-Sachs mass loss. Classical & Quantum Gravity, 38, 194002. doi: 10.1088/1361-6382/ac1be3
Frauendiener, J., Hakata, J., & Stevens, C. (2021). Can gravitational waves halt the expansion of the universe? Universe, 7(7), 228. doi: 10.3390/universe7070228
2020
Journal - Research Article
Beyer, F., Frauendiener, J., & Hennig, J. (2020). Explorations of the infinite regions of spacetime. International Journal of Modern Physics D, 29(10), 2030007. doi: 10.1142/S0218271820300074
Beyer, F., Frauendiener, J., & Ritchie, J. (2020). Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations. Physical Review D, 101, 084013. doi: 10.1103/PhysRevD.101.084013
Journal - Research Other
Barausse, E., Berti, E., Hertog, T., Hughes, S. A., Jetzer, P., Pani, P., … Frauendiener, J., … Hennig, J., … Yunes, N. (2020). Prospects for fundamental physics with LISA [Invited report]. General Relativity & Gravitation, 52, 81. doi: 10.1007/s10714-020-02691-1
Frauendiener, J. (2020). Gravitational waves and the Sagnac effect. Classical & Quantum Gravity, 37(5), 05LT01. doi: 10.1088/1361-6382/ab574c
2019
Journal - Research Article
Daszuta, B., & Frauendiener, J. (2019). Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild. Classical & Quantum Gravity, 36, 185008. doi: 10.1088/1361-6382/ab34d8
Beyer, F., Escobar, L., Frauendiener, J., & Ritchie, J. (2019). Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations. Classical & Quantum Gravity, 36(17), 175005. doi: 10.1088/1361-6382/ab3482
Doulis, G., Frauendiener, J., Stevens, C., & Whale, B. (2019). COFFEE: An MPI-parallelized Python package for the numerical evolution of differential equations. SoftwareX, 10, 100283. doi: 10.1016/j.softx.2019.100283
Frauendiener, J., Jaber, C., & Klein, C. (2019). Efficient computation of multidimensional theta functions. Journal of Geometry & Physics, 141, 147-158. doi: 10.1016/j.geomphys.2019.03.011
Conference Contribution - Published proceedings: Abstract
Frauendiener, J. (2019). The Sagnac effect in general relativity. Proceedings of the 10th Australasian Conference on General Relativity and Gravitation (ACGRG). Retrieved from https://sms.wgtn.ac.nz/Events/AotearoaACGRG10
Working Paper; Discussion Paper; Technical Report
Doulis, G., Frauendiener, J., Stevens, C., & Whale, B. (2019). COFFEE: An MPI-parallelized Python package for the numerical evolution of differential equations. arXiv. Retrieved from https://arxiv.org/abs/1903.12482
2018
Chapter in Book - Research
Frauendiener, J. (2018). Conformal infinity: Development and applications. In D. E. Rowe, T. Sauer & S. A. Walter (Eds.), Beyond Einstein: Perspectives on geometry, gravitation, and cosmology in the twentieth century: Einstein studies (Vol. 14). New York, NY: Springer. doi: 10.1007/978-1-4939-7708-6_16
Journal - Research Article
Frauendiener, J. (2018). Notes on the Sagnac effect in general relativity. General Relativity & Gravitation, 50, 147. doi: 10.1007/s10714-018-2470-5
Frauendiener, J., & Hennig, J. (2018). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. III: Nonspherical Schwarzschild waves and singularities at null infinity. Classical & Quantum Gravity, 35, 065015. doi: 10.1088/1361-6382/aaac8d
Other Research Output
Frauendiener, J., Hennig, J. (2018, March). How to reach infinity? CQG+ companion blog. Retrieved from https://cqgplus.com/2018/03/06/how-to-reach-infinity
2017
Journal - Research Article
Beyer, F., Frauendiener, J., Stevens, C., & Whale, B. (2017). Numerical initial boundary value problem for the generalized conformal field equations. Physical Review D, 96(8), 084020. doi: 10.1103/PhysRevD.96.084020
Beyer, F., Escobar, L., & Frauendiener, J. (2017). Asymptotics of solutions of a hyperbolic formulation of the constraint equations. Classical & Quantum Gravity, 34(20), 205014. doi: 10.1088/1361-6382/aa8be6
Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. Physical Review D, 95(8), 084030. doi: 10.1103/PhysRevD.95.084030
Doulis, G., & Frauendiener, J. (2017). Global simulations of Minkowski spacetime including spacelike infinity. Physical Review D, 95(2), 024035. doi: 10.1103/PhysRevD.95.024035
Frauendiener, J., & Hennig, J. (2017). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background. Classical & Quantum Gravity, 34, 045005. doi: 10.1088/1361-6382/aa54c4
Frauendiener, J., & Klein, C. (2017). Computational approach to compact Riemann surfaces. Nonlinearity, 30(1), 138-172. doi: 10.1088/1361-6544/30/1/138
Working Paper; Discussion Paper; Technical Report
Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. arXiv. Retrieved from https://arxiv.org/abs/1702.02694
2016
Journal - Research Article
Beyer, F., Escobar, L., & Frauendiener, J. (2016). Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1). Physical Review D, 93, 043009. doi: 10.1103/PhysRevD.93.043009
Conference Contribution - Published proceedings: Abstract
Frauendiener, J. (2016). A numerical implementation of the Corvino-Schoen gluing method in spherical symmetry. Proceedings of the 21st International Conference on General Relativity and Gravitation (GR21). (pp. 118). Retrieved from http://www.gr21.org/
Frauendiener, J. (2016). Using the generalised conformal field equations to study the 'ringing' of a Schwarzschild black hole. Proceedings of the 21st International Conference on General Relativity and Gravitation (GR21). (pp. 80). Retrieved from http://www.gr21.org/
2015
Journal - Research Article
Beyer, F., Daszuta, B., & Frauendiener, J. (2015). A spectral method for half-integer spin fields based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 32(17), 175013. doi: 10.1088/0264-9381/32/17/175013
Frauendiener, J., & Klein, C. (2015). Computational approach to hyperelliptic Riemann surfaces. Letters in Mathematical Physics, 105(3), 379-400. doi: 10.1007/s11005-015-0743-4
Working Paper; Discussion Paper; Technical Report
Beyer, F., Escobar, L., & Frauendiener, J. (2015). Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1). arXiv. Retrieved from http://arxiv.org/abs/1505.05920v1
2014
Journal - Research Article
Frauendiener, J., & Stevens, C. (2014). Numerical evolution of plane gravitational waves in the Friedrich-Nagy gauge. Physical Review D, 89, 104026. doi: 10.1103/PhysRevD.89.104026
Frauendiener, J., & Hennig, J. (2014). Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. Classical & Quantum Gravity, 31(8), 085010. doi: 10.1088/0264-9381/31/8/085010
Beyer, F., Daszuta, B., Frauendiener, J., & Whale, B. (2014). Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics. Classical & Quantum Gravity, 31, 075019. doi: 10.1088/0264-9381/31/7/075019
Conference Contribution - Published proceedings: Full paper
Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2014). The spin-2 equation on Minkowski background. In A. Garcia-Parrado, F. C. Mena, R. Moura & E. Vas (Eds.), Progress in Mathematical Relativity, Gravitation and Cosmology (Vol. 60). (pp. 465-468). Berlin: Springer. doi: 10.1007/978-3-642-40157-2_71
Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2014). Linearized gravitational waves near space-like and null infinity. In A. Garcia-Parrado, F. C. Mena, R. Moura & E. Vas (Eds.), Progress in Mathematical Relativity, Gravitation and Cosmology (Vol. 60). (pp. 3-17). Berlin: Springer. doi: 10.1007/978-3-642-40157-2_1
2013
Journal - Research Article
Doulis, G., & Frauendiener, J. (2013). The second order spin-2 system in flat space near space-like and null-infinity. General Relativity & Gravitation, 45(7), 1365-1385. doi: 10.1007/s10714-013-1532-y
Müller, T., & Frauendiener, J. (2013). Charged particles constrained to a curved surface. European Journal of Physics, 34(1), 147-160. doi: 10.1088/0143-0807/34/1/147
Conference Contribution - Verbal presentation and other Conference outputs
Frauendiener, J. (2013, December). Scattering of gravitational waves, a geometric perspective. Plenary presentation at the New Zealand Mathematical Society Colloquium, Tauranga, New Zealand.
2012
Journal - Research Article
Beyer, F., Doulis, G., Frauendiener, J., & Whale, B. (2012). Numerical space-times near space-like and null infinity: The spin-2 system on Minkowski space. Classical & Quantum Gravity, 29(24), 245013. doi: 10.1088/0264-9381/29/24/245013
Peter, R., & Frauendiener, J. (2012). Free versus constrained evolution of the 2+1 equivariant wave map. Journal of Physics A, 45(5), 055201. doi: 10.1088/1751-8113/45/5/055201
Müller, T., & Frauendiener, J. (2012). Interactive visualization of a thin disc around a Schwarzschild black hole. European Journal of Physics, 33(4), 955-963. doi: 10.1088/0143-0807/33/4/955
Journal - Professional & Other Non-Research Articles
Frauendiener, J., & Szabados, L. B. (2012). Corrigendum: A note on the post-Newtonian limit of quasi-local energy expressions. Classical & Quantum Gravity, 29, 069501. doi: 10.1088/0264-9381/29/6/069501
Conference Contribution - Verbal presentation and other Conference outputs
Frauendiener, J. (2012, February). Witten spinors on maximal, conformally flat hypersurfaces. Verbal presentation at the Sixth Australasian Conference on General Relativity and Gravitation, Queenstown, New Zealand.
2011
Chapter in Book - Research
Frauendiener, J., & Klein, C. (2011). Algebraic curves and Riemann surfaces in Matlab. In A. L. Bobenko & C. Klein (Eds.), Computational approach to Riemann surfaces: Lecture notes in mathematics (Vol. 2013). (pp. 125-162). Berlin, Germany: Springer. doi: 10.1007/978-3-642-17413-1_3
Journal - Research Article
Frauendiener, J., & Szabados, L. B. (2011). A note on the post-Newtonian limit of quasi-local energy expressions. Classical & Quantum Gravity, 28(23), 235009. doi: 10.1088/0264-9381/28/23/235009
Frauendiener, J., Klein, C., & Shramchenko, V. (2011). Efficient computation of the branching structure of an algebraic curve. Computational Methods & Function Theory, 11(2), 527-546.
Frauendiener, J., Nester, J. M., & Szabados, L. B. (2011). Witten spinors on maximal, conformally flat hypersurfaces. Classical & Quantum Gravity, 28(18), 185004. doi: 10.1088/0264-9381/28/18/185004
Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). Generalized transformation optics of linear materials. Journal of Optics, 13(5), 055105. doi: 10.1088/2040-8978/13/5/055105
Müller, T., & Frauendiener, J. (2011). Studying null and time-like geodesics in the classroom. European Journal of Physics, 32, 747-759. doi: 10.1088/0143-0807/32/3/011
Thompson, R. T., Cummer, S. A., & Frauendiener, J. (2011). A completely covariant approach to transformation optics. Journal of Optics, 13(2), 024008. doi: 10.1088/2040-8978/13/2/024008
Journal - Research Other
Frauendiener, J. (2011). [Review of the book: Miguel Alcubierre: Introduction to 3 + 1 numerical relativity]. General Relativity & Gravitation, 43(10), 2931-2933. doi: 10.1007/s10714-011-1195-5
2010
Journal - Research Article
Thompson, R. T., & Frauendiener, J. (2010). Dielectric analog space-times. Physical Review D, 82, 124021. doi: 10.1103/PhysRevD.82.124021
Richter, R., & Frauendiener, J. (2010). Discrete differential forms for (1+1)-dimensional cosmological space-times. SIAM Journal on Scientific Computing, 32(2), 1140-1158. doi: 10.1137/080734583
Ammann, C., Frauendiener, J., & Holton, D. (2010). German undergraduate mathematics enrolment numbers: Background and change. International Journal of Mathematical Education in Science & Technology, 41(4), 435-449. doi: 10.1080/00207390903564629
Conference Contribution - Verbal presentation and other Conference outputs
Frauendiener, J. (2010, January). Gravitational waves: A new window to the universe. Verbal presentation at the Biennial Australia/New Zealand Humboldt Conference, Dunedin, New Zealand.
2009
Journal - Research Article
Konrad, W., Apeltauer, C., Frauendiener, J., Barthlott, W., & Roth-Nebelsick, A. (2009). Applying methods from differential geometry to devise stable and persistent air layers attached to objects immersed in water. Journal of Bionic Engineering, 6(4), 350-356. doi: 10.1016/S1672-6529(08)60133-X
2008
Journal - Research Article
Frauendiener, J. (2008). The applicability of constrained symplectic integrators in general relativity. Journal of Physics A, 41, 382005. doi: 10.1088/1751-8113/41/38/382005
Other Research Output
Frauendiener, J. (2008, August). Sightseeing in Einstein's world. University of Otago, Dunedin, New Zealand. [Inaugural Professorial Lecture].
2007
Journal - Research Article
Richter, R., Frauendiener, J., & Vogel, M. (2007). Application of discrete differential forms to spherically symmetric systems in general relativity. Classical & Quantum Gravity, 24(2), 433-453. doi: 10.1088/0264-9381/24/2/010
Frauendiener, J., & Kabobel, A. (2007). The static spherically symmetric body in relativistic elasticity. Classical & Quantum Gravity, 24(18), 4817-4837. doi: 10.1088/0264-9381/24/18/016
2006
Edited Book - Research
Frauendiener, J., Giulini, D. J. W., & Perlick, V. (Eds.). (2006). Analytical and numerical approaches to mathematical relativity: Lecture notes in physics (Vol. 692). Berlin, Germany: Springer, 279p. doi: 10.1007/b11550259
Chapter in Book - Research
Frauendiener, J. (2006). The computational aspects of general relativity. In E. Krause, Y. I. Shokin, M. Resch & N. Shokina (Eds.), Computational science and high performance computing II: Notes on numerical fluid mechanics and multidisciplinary design (Vol. 91). (pp. 115-127). Berlin, Germany: Springer.
Journal - Research Article
Pareja, M. J., & Frauendiener, J. (2006). Constant scalar curvature hypersurfaces in extended Schwarzschild space-time. Physical Review D, 74(4), 044026. doi: 10.1103/PhysRevD.74.044026
Frauendiener, J., & Klein, C. (2006). Hyperelliptic theta-functions and spectral methods: KdV and KP solutions. Letters in Mathematical Physics, 76(2-3), 249-267. doi: 10.1007/s11005-006-0068-4
Frauendiener, J. (2006). Discrete differential forms in general relativity. Classical & Quantum Gravity, 23(16), S369-S385. doi: 10.1088/0264-9381/23/16/S05
