2000 character limit reached
Asymptotic Weyl double copy in Newman-Penrose formalism
Published 28 Dec 2023 in hep-th and gr-qc | (2312.17160v2)
Abstract: In this paper, we provide a self-contained investigation of the Weyl double copy in the Newman-Penrose formalism. We examine the Weyl double copy constraints for the general asymptotically flat solution in the Newman-Unti gauge. We find that two transparent solutions of the asymptotic Weyl double copy constraints lead to truncated solutions for both linearized and Einstein gravity theory where the solutions are in the manifest form of Petrov type N or type D in the Newman-Unti gauge.
- A. Luna, R. Monteiro, I. Nicholson, and D. O’Connell, “Type D Spacetimes and the Weyl Double Copy,” Class. Quant. Grav. 36 (2019) 065003, arXiv:1810.08183 [hep-th].
- R. Monteiro, D. O’Connell, and C. D. White, “Black holes and the double copy,” JHEP 12 (2014) 056, arXiv:1410.0239 [hep-th].
- R. Alawadhi, D. S. Berman, and B. Spence, “Weyl doubling,” JHEP 09 (2020) 127, arXiv:2007.03264 [hep-th].
- H. Godazgar, M. Godazgar, R. Monteiro, D. Peinador Veiga, and C. N. Pope, “Weyl Double Copy for Gravitational Waves,” Phys. Rev. Lett. 126 no. 10, (2021) 101103, arXiv:2010.02925 [hep-th].
- C. D. White, “Twistorial Foundation for the Classical Double Copy,” Phys. Rev. Lett. 126 no. 6, (2021) 061602, arXiv:2012.02479 [hep-th].
- R. Monteiro, D. O’Connell, D. Peinador Veiga, and M. Sergola, “Classical solutions and their double copy in split signature,” JHEP 05 (2021) 268, arXiv:2012.11190 [hep-th].
- E. Chacón, S. Nagy, and C. D. White, “The Weyl double copy from twistor space,” JHEP 05 (2021) 2239, arXiv:2103.16441 [hep-th].
- H. Godazgar, M. Godazgar, R. Monteiro, D. Peinador Veiga, and C. N. Pope, “Asymptotic Weyl double copy,” JHEP 11 (2021) 126, arXiv:2109.07866 [hep-th].
- T. Adamo and U. Kol, “Classical double copy at null infinity,” Class. Quant. Grav. 39 no. 10, (2022) 105007, arXiv:2109.07832 [hep-th].
- D. A. Easson, T. Manton, and A. Svesko, “Sources in the Weyl Double Copy,” Phys. Rev. Lett. 127 no. 27, (2021) 271101, arXiv:2110.02293 [gr-qc].
- E. Chacón, S. Nagy, and C. D. White, “Alternative formulations of the twistor double copy,” JHEP 03 (2022) 180, arXiv:2112.06764 [hep-th].
- S. Han, “Weyl double copy and massless free-fields in curved spacetimes,” Class. Quant. Grav. 39 no. 22, (2022) 225009, arXiv:2204.01907 [gr-qc].
- S. Han, “The Weyl double copy in vacuum spacetimes with a cosmological constant,” JHEP 09 (2022) 238, arXiv:2205.08654 [gr-qc].
- A. Luna, N. Moynihan, and C. D. White, “Why is the Weyl double copy local in position space?,” JHEP 12 (2022) 046, arXiv:2208.08548 [hep-th].
- D. A. Easson, T. Manton, and A. Svesko, “Einstein-Maxwell theory and the Weyl double copy,” Phys. Rev. D 107 no. 4, (2023) 044063, arXiv:2210.16339 [gr-qc].
- G. Alkac, M. K. Gumus, O. Kasikci, M. A. Olpak, and M. Tek, “Regularized Weyl double copy,” arXiv:2310.06048 [hep-th].
- E. Newman and R. Penrose, “An Approach to gravitational radiation by a method of spin coefficients,” J. Math. Phys. 3 (1962) 566–578.
- E. T. Newman and T. W. J. Unti, “Behavior of Asymptotically Flat Empty Spaces,” J. Math. Phys. 3 no. 5, (1962) 891.
- A. I. Janis and E. T. Newman, “Structure of Gravitational Sources,” J. Math. Phys. 6 (1965) 902–914.
- E. T. Newman and R. Penrose, “New conservation laws for zero rest-mass fields in asymptotically flat space-time,” Proc. Roy. Soc. Lond. A 305 (1968) 175–204.
- H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269 (1986) 1–23.
- Z. Bern, J. J. M. Carrasco, and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78 (2008) 085011, arXiv:0805.3993 [hep-ph].
- Z. Bern, J. J. M. Carrasco, and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett. 105 (2010) 061602, arXiv:1004.0476 [hep-th].
- E. Conde and P. Mao, “Remarks on asymptotic symmetries and the subleading soft photon theorem,” Phys. Rev. D 95 no. 2, (2017) 021701, arXiv:1605.09731 [hep-th].
- E. Conde and P. Mao, “BMS Supertranslations and Not So Soft Gravitons,” JHEP 05 (2017) 060, arXiv:1612.08294 [hep-th].
- T. He and P. Mitra, “Asymptotic symmetries and Weinberg’s soft photon theorem in Minkd+2𝑑2{}_{d+2}start_FLOATSUBSCRIPT italic_d + 2 end_FLOATSUBSCRIPT,” JHEP 10 (2019) 213, arXiv:1903.02608 [hep-th].
- G. Barnich and C. Troessaert, “Finite BMS transformations,” JHEP 03 (2016) 167, arXiv:1601.04090 [gr-qc].
- G. Compère and J. Long, “Vacua of the gravitational field,” JHEP 07 (2016) 137, arXiv:1601.04958 [hep-th].
- G. Compère, A. Fiorucci, and R. Ruzziconi, “Superboost transitions, refraction memory and super-Lorentz charge algebra,” JHEP 11 (2018) 200, arXiv:1810.00377 [hep-th]. [Erratum: JHEP 04, 172 (2020)].
- G. Barnich and R. Ruzziconi, “Coadjoint representation of the BMS group on celestial Riemann surfaces,” JHEP 06 (2021) 079, arXiv:2103.11253 [gr-qc].
- H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond. A 269 (1962) 21–52.
- Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, 2003.
- S. Chandrasekhar, “The Newman-Penrose formalism,” in The mathematical theory of black holes, ch. 1, pp. 40–55. Oxford, UK, 1983.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.