Hawking radiation, chirality, and the principle of effective theory of gravity
- 60 Downloads
- 13 Citations
Abstract
In this paper we combine the chirality of field theories in near horizon regions with the principle of effective theory of gravity to define a new energy-momentum tensor for the theory. This new energy-momentum tensor has the correct radiation flux to account for Hawking radiation for space-times with horizons. This method is connected to the chiral anomaly cancellation method, but it works for space-times for which the chiral anomaly cancellation method fails. In particular the method presented here works for the non- asymptotically flat de Sitter space-time and its associated Hawking-Gibbons radiation, as well as Rindler space-time and its associated Unruh radiation. This indicates that it is the chiral nature of the field theory in the near horizon regions which is of primary importance rather than the chiral anomaly.
Keywords
Black Holes Anomalies in Field and String TheoriesReferences
- [1]S. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206-206] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [2]K. Srinivasan and T. Padmanabhan, Particle production and complex path analysis, Phys. Rev. D 60 (1999) 024007 [gr-qc/9812028] [INSPIRE].MathSciNetADSGoogle Scholar
- [3]S. Shankaranarayanan, K. Srinivasan and T. Padmanabhan, Method of complex paths and general covariance of Hawking radiation, Mod. Phys. Lett. A 16 (2001) 571 [gr-qc/0007022] [INSPIRE].MathSciNetCrossRefGoogle Scholar
- [4]S. Shankaranarayanan, T. Padmanabhan and K. Srinivasan, Hawking radiation in different coordinate settings: Complex paths approach, Class. Quant. Grav. 19 (2002) 2671 [gr-qc/0010042] [INSPIRE].MathSciNetADSCrossRefMATHGoogle Scholar
- [5]M.K. Parikh and F. Wilczek, Hawking radiation as tunneling, Phys. Rev. Lett. 85 (2000) 5042 [hep-th/9907001] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [6]E.C. Vagenas, Semiclassical corrections to the Bekenstein-Hawking entropy of the BTZ black hole via selfgravitation, Phys. Lett. B 533 (2002) 302 [hep-th/0109108] [INSPIRE].ADSCrossRefGoogle Scholar
- [7]S.P. Robinson and F. Wilczek, A relationship between Hawking radiation and gravitational anomalies, Phys. Rev. Lett. 95 (2005) 011303 [gr-qc/0502074] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [8]E.C. Vagenas and S. Das, Gravitational anomalies, Hawking radiation and spherically symmetric black holes, JHEP 10 (2006) 025 [hep-th/0606077] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [9]S. Iso, T. Morita and H. Umetsu, Higher-spin currents and thermal flux from Hawking radiation, Phys. Rev. D 75 (2007) 124004 [hep-th/0701272] [INSPIRE].MathSciNetADSGoogle Scholar
- [10]V. Akhmedova, T. Pilling, A. de Gill and D. Singleton, Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation, Phys. Lett. B 673 (2009) 227 [arXiv:0808.3413] [INSPIRE].ADSCrossRefGoogle Scholar
- [11]T. Padmanabhan and A. Patel, Role of horizons in semiclassical gravity: Entropy and the area spectrum, gr-qc/0309053 [INSPIRE].
- [12]T. Padmanabhan, Gravity and the thermodynamics of horizons, Phys. Rept. 406 (2005) 49 [gr-qc/0311036] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [13]R. Bertlmann and E. Kohlprath, Two-dimensional gravitational anomalies, Schwinger terms and dispersion relations, Annals Phys. 288 (2001) 137 [hep-th/0011067] [INSPIRE].MathSciNetADSCrossRefMATHGoogle Scholar
- [14]R. Banerjee and S. Kulkarni, Hawking radiation and covariant anomalies, Phys. Rev. D 77 (2008) 024018 [arXiv:0707.2449] [INSPIRE].MathSciNetADSGoogle Scholar
- [15]R. Banerjee, Covariant anomalies, horizons and hawking radiation, Int. J. Mod. Phys. D 17 (2009) 2539 [arXiv:0807.4637] [INSPIRE].ADSGoogle Scholar
- [16]R. Banerjee and B.R. Majhi, Connecting anomaly and tunneling methods for Hawking effect through chirality, Phys. Rev. D 79 (2009) 064024 [arXiv:0812.0497] [INSPIRE].ADSGoogle Scholar
- [17]I. Fuentes-Schuller and R.B. Mann, Alice falls into a black hole: entanglement in non-inertial frames, Phys. Rev. Lett. 95 (2005) 120404 [quant-ph/0410172] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [18]B. Zhang, Q.-y. Cai, L. You and M.-s. Zhan, Hidden messenger revealed in Hawking radiation: a resolution to the paradox of black hole information loss, Phys. Lett. B 675 (2009) 98 [arXiv:0903.0893] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [19]D. Singleton, E.C. Vagenas, T. Zhu and J.-R. Ren, Insights and possible resolution to the information loss paradox via the tunneling picture, JHEP 08 (2010) 089 [Erratum ibid. 1101 (2011) 021] [arXiv:1005.3778] [INSPIRE].ADSCrossRefGoogle Scholar
- [20]E. Papantonopoulos and P. Skamagoulis, Hawking radiation via gravitational anomalies in non-spherical topologies, Phys. Rev. D 79 (2009) 084022 [arXiv:0812.1759] [INSPIRE].MathSciNetADSGoogle Scholar
- [21]J.D. Jackson, Classical electrodynamics, 3rd edition, John Wiley & Sons Inc., U.S.A. (1999).MATHGoogle Scholar
- [22]G.W. Gibbons and S.W. Hawking, Cosmological event horizons, thermodynamics, and particle creation, Phys. Rev. D 15 (1977) 2738.MathSciNetADSGoogle Scholar
- [23]W. Unruh, Notes on black hole evaporation, Phys. Rev. D 14 (1976) 870 [INSPIRE].ADSGoogle Scholar
- [24]T. Zhu, J. -R. Ren and D. Singleton, Hawking-like radiation as tunneling from the apparent horizon in a FRW universe, Int. J. Mod. Phys. D 19 (2010) 159 [arXiv:0902.2542] [INSPIRE].ADSCrossRefGoogle Scholar
- [25]R.-G. Cai and S.P. Kim, First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe, JHEP 02 (2005) 050 [hep-th/0501055] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar