Abstract
We go “back to basics”, studying accelerating systems in 2 + 1 AdS gravity ab initio. We find three classes of geometry, which we interpret by studying holographically their physical parameters. From these, we construct stationary, accelerating point particles; one-parameter extensions of the BTZ family resembling an accelerating black hole; and find new solutions including a novel accelerating “BTZ geometry” not continuously connected to the BTZ black hole as well as some black funnel solutions.
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References
W. Kinnersley and M. Walker, Uniformly accelerating charged mass in general relativity, Phys. Rev. D 2 (1970) 1359 [INSPIRE].
J. Podolsky, Accelerating black holes in anti-de Sitter universe, Czech. J. Phys. 52 (2002) 1 [gr-qc/0202033] [INSPIRE].
O.J.C. Dias and J.P.S. Lemos, Pair of accelerated black holes in anti-de Sitter background: AdS C metric, Phys. Rev. D 67 (2003) 064001 [hep-th/0210065] [INSPIRE].
J.F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity, Annals Phys. 98 (1976) 98 [INSPIRE].
J.B. Griffiths and J. Podolsky, A New look at the Plebanski-Demianski family of solutions, Int. J. Mod. Phys. D 15 (2006) 335 [gr-qc/0511091] [INSPIRE].
M. Appels, R. Gregory and D. Kubiznak, Thermodynamics of Accelerating Black Holes, Phys. Rev. Lett. 117 (2016) 131303 [arXiv:1604.08812] [INSPIRE].
M. Appels, R. Gregory and D. Kubiznak, Black Hole Thermodynamics with Conical Defects, JHEP 05 (2017) 116 [arXiv:1702.00490] [INSPIRE].
A. Anabalón, M. Appels, R. Gregory, D. Kubizňák, R.B. Mann and A. Ovgün, Holographic Thermodynamics of Accelerating Black Holes, Phys. Rev. D 98 (2018) 104038 [arXiv:1805.02687] [INSPIRE].
A. Anabalón, F. Gray, R. Gregory, D. Kubizňák and R.B. Mann, Thermodynamics of Charged, Rotating, and Accelerating Black Holes, JHEP 04 (2019) 096 [arXiv:1811.04936] [INSPIRE].
R. Gregory, Z.L. Lim and A. Scoins, Thermodynamics of Many Black Holes, Front. in Phys. 9 (2021) 187 [arXiv:2012.15561] [INSPIRE].
A. Ball and N. Miller, Accelerating black hole thermodynamics with boost time, Class. Quant. Grav. 38 (2021) 145031 [arXiv:2008.03682] [INSPIRE].
R. Gregory and A. Scoins, Accelerating Black Hole Chemistry, Phys. Lett. B 796 (2019) 191 [arXiv:1904.09660] [INSPIRE].
P. Krtouš and A. Zelnikov, Thermodynamics of two black holes, JHEP 02 (2020) 164 [arXiv:1909.13467] [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
P. Ferrero, J.P. Gauntlett, J.M.P. Ipiña, D. Martelli and J. Sparks, Accelerating black holes and spinning spindles, Phys. Rev. D 104 (2021) 046007 [arXiv:2012.08530] [INSPIRE].
M.H. Dehghani, A.M. Ghezelbash and R.B. Mann, Vortex holography, Nucl. Phys. B 625 (2002) 389 [hep-th/0105134] [INSPIRE].
O.J.C. Dias, G.T. Horowitz, N. Iqbal and J.E. Santos, Vortices in holographic superfluids and superconductors as conformal defects, JHEP 04 (2014) 096 [arXiv:1311.3673] [INSPIRE].
S. Deser and R. Jackiw, Three-Dimensional Cosmological Gravity: Dynamics of Constant Curvature, Annals Phys. 153 (1984) 405 [INSPIRE].
M. Bañados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE].
M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2 + 1) black hole, Phys. Rev. D 48 (1993) 1506 [Erratum ibid. 88 (2013) 069902] [gr-qc/9302012] [INSPIRE].
E. Witten, (2 + 1)-Dimensional Gravity as an Exactly Soluble System, Nucl. Phys. B 311 (1988) 46 [INSPIRE].
A. Maloney and E. Witten, Quantum Gravity Partition Functions in Three Dimensions, JHEP 02 (2010) 029 [arXiv:0712.0155] [INSPIRE].
V.E. Hubeny, D. Marolf and M. Rangamani, Black funnels and droplets from the AdS C-metrics, Class. Quant. Grav. 27 (2010) 025001 [arXiv:0909.0005] [INSPIRE].
V.E. Hubeny, D. Marolf and M. Rangamani, Hawking radiation in large N strongly-coupled field theories, Class. Quant. Grav. 27 (2010) 095015 [arXiv:0908.2270] [INSPIRE].
M. Astorino, Accelerating black hole in 2 + 1 dimensions and 3 + 1 black (st)ring, JHEP 01 (2011) 114 [arXiv:1101.2616] [INSPIRE].
M.M. Anber, AdS4/CFT3 + Gravity for Accelerating Conical Singularities, JHEP 11 (2008) 026 [arXiv:0809.2789] [INSPIRE].
W. Xu, K. Meng and L. Zhao, Accelerating BTZ spacetime, Class. Quant. Grav. 29 (2012) 155005 [arXiv:1111.0730] [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44S10 (1966) 1 [Erratum ibid. 48 (1967) 463] [INSPIRE].
L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
S. Deser, R. Jackiw and G. ’t Hooft, Three-Dimensional Einstein Gravity: Dynamics of Flat Space, Annals Phys. 152 (1984) 220 [INSPIRE].
M.M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories, Class. Quant. Grav. 17 (2000) 399 [hep-th/9908022] [INSPIRE].
J.B. Griffiths, P. Krtous and J. Podolsky, Interpreting the C-metric, Class. Quant. Grav. 23 (2006) 6745 [gr-qc/0609056] [INSPIRE].
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].
J.D. Brown and J.W. York, Jr., Quasilocal energy and conserved charges derived from the gravitational action, Phys. Rev. D 47 (1993) 1407 [gr-qc/9209012] [INSPIRE].
R.B. Mann, Misner string entropy, Phys. Rev. D 60 (1999) 104047 [hep-th/9903229] [INSPIRE].
M. Henningson and K. Skenderis, The Holographic Weyl anomaly, JHEP 07 (1998) 023 [hep-th/9806087] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
J.D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].
R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory: With Applications to String Theory, Lect. Notes Phys. 779 (2009) 1.
M. Bañados, Three-dimensional quantum geometry and black holes, AIP Conf. Proc. 484 (1999) 147 [hep-th/9901148] [INSPIRE].
M. Bañados, Notes on black holes and three-dimensional gravity, AIP Conf. Proc. 490 (1999) 198 [hep-th/9903244] [INSPIRE].
I. Papadimitriou and K. Skenderis, Thermodynamics of asymptotically locally AdS spacetimes, JHEP 08 (2005) 004 [hep-th/0505190] [INSPIRE].
S. Carlip, Lectures on (2 + 1) dimensional gravity, J. Korean Phys. Soc. 28 (1995) S447 [gr-qc/9503024] [INSPIRE].
A.M. Frassino, R.B. Mann and J.R. Mureika, Lower-Dimensional Black Hole Chemistry, Phys. Rev. D 92 (2015) 124069 [arXiv:1509.05481] [INSPIRE].
P. Krtous, Accelerated black holes in an anti-de Sitter universe, Phys. Rev. D 72 (2005) 124019 [gr-qc/0510101] [INSPIRE].
D. Cassani, J.P. Gauntlett, D. Martelli and J. Sparks, Thermodynamics of accelerating and supersymmetric AdS4 black holes, Phys. Rev. D 104 (2021) 086005 [arXiv:2106.05571] [INSPIRE].
K. Hong and E. Teo, A New form of the C metric, Class. Quant. Grav. 20 (2003) 3269 [gr-qc/0305089] [INSPIRE].
M. Astorino, Thermodynamics of Regular Accelerating Black Holes, Phys. Rev. D 95 (2017) 064007 [arXiv:1612.04387] [INSPIRE].
M. Astorino, CFT Duals for Accelerating Black Holes, Phys. Lett. B 760 (2016) 393 [arXiv:1605.06131] [INSPIRE].
C. Martinez and J. Zanelli, Back reaction of a conformal field on a three-dimensional black hole, Phys. Rev. D 55 (1997) 3642 [gr-qc/9610050] [INSPIRE].
M. Casals, A. Fabbri, C. Martínez and J. Zanelli, Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities, Phys. Rev. Lett. 118 (2017) 131102 [arXiv:1608.05366] [INSPIRE].
R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes, JHEP 01 (2000) 007 [hep-th/9911043] [INSPIRE].
R. Emparan, A.M. Frassino and B. Way, Quantum BTZ black hole, JHEP 11 (2020) 137 [arXiv:2007.15999] [INSPIRE].
H. Kudoh and Y. Kurita, Thermodynamics of four-dimensional black objects in the warped compactification, Phys. Rev. D 70 (2004) 084029 [gr-qc/0406107] [INSPIRE].
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Arenas-Henriquez, G., Gregory, R. & Scoins, A. On acceleration in three dimensions. J. High Energ. Phys. 2022, 63 (2022). https://doi.org/10.1007/JHEP05(2022)063
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DOI: https://doi.org/10.1007/JHEP05(2022)063