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Hawking radiation from quasilocal dynamical horizons

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Abstract

In completely local settings, we establish that a dynamically evolving spherically symmetric black hole horizon can be assigned a Hawking temperature and with the emission of flux, radius of the horizon shrinks.

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References

  1. S W Hawking and G F R Ellis, The large scale structure of space-time (Cambridge University Press, Cambridge, 1973)

    Book  MATH  Google Scholar 

  2. R M Wald, General relativity (Chicago Univ Press, Chicago, USA, 1984) p. 491

    Book  MATH  Google Scholar 

  3. S W Hawking, Commun. Math. Phys. 25, 152 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  4. J M Bardeen, B Carter and S W Hawking, Commun. Math. Phys. 31, 161 (1973)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. J D Bekenstein, Phys. Rev. D 7, 2333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  6. J D Bekenstein, Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  7. S W Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  8. R M Wald, General relativity (University Press, Chicago, USA, 1994) p. 205

  9. J B Hartle and S W Hawking, Phys. Rev. D 13, 2188 (1976)

    Article  ADS  Google Scholar 

  10. G W Gibbons and M J Perry, Proc. R. Soc. London A 358, 467 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  11. B S Kay and R M Wald, Phys. Rep. 207, 49 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. S A Hayward, Phys. Rev. D 49, 6467 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  13. S A Hayward, Class. Quant. Grav. 15, 3147 (1998), arXiv:gr-qc/9710089

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. A Ashtekar, C Beetle, O Dreyer, S Fairhurst, B Krishnan, J Lewandowski and J Wisniewski, Phys. Rev. Lett. 85, 3564 (2000), arXiv:gr-qc/0006006

    Article  ADS  MathSciNet  Google Scholar 

  15. I Booth and S Fairhurst, Phys. Rev. Lett. 92, 011102 (2004), arXiv:gr-qc/0307087

    Article  ADS  Google Scholar 

  16. A Ashtekar, J Baez, A Corichi and K Krasnov, Phys. Rev. Lett. 80, 904 (1998), arXiv:gr-qc/9710007

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. A Ghosh and A Perez, Phys. Rev. Lett. 107, 241301 (2011), arXiv:1107.1320 [gr-qc]

    Article  ADS  Google Scholar 

  18. M K Parikh and F Wilczek, Phys. Rev. Lett. 85, 5042–5 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  19. L Vanzo, G Acquaviva and R Di Criscienzo, Class. Quant. Grav. 28, 183001 (2011)

    Article  ADS  Google Scholar 

  20. A Chatterjee, B Chatterjee and A Ghosh, Phys. Rev. D 87, 084051 (2012)

    Article  ADS  Google Scholar 

  21. A Ashtekar and B Krishnan, Living Rev. Rel. 7, 10 (2004)

    Google Scholar 

  22. A Ashtekar and B Krishnan, Phys. Rev. Lett. 89, 261101 (2002), arXiv:gr-qc/0207080; Phys. Rev. D 68, 104030 (2003), arXiv:gr-qc/0308033

  23. H Kodama, Prog. Theor. Phys. 63, 1217 (1980)

    Article  ADS  Google Scholar 

  24. T Damour and R Ruffini, Phys. Rev. D 14, 332 (1976)

    Article  ADS  Google Scholar 

  25. B Chatterjee and A Ghosh, arXiv:1201.4017 [gr-qc]

  26. I M Gel’fand and G E Shilov, Generalized functions (Academic Press, 1964) Vol. 1

  27. A Ashtekar and M Bojowald, Class. Quant. Grav. 22, 3349 (2005), arXiv:gr-qc/0504029 A Ashtekar, V Taveras and M Varadarajan, Phys. Rev. Lett. 100, 211302 (2008), arXiv:0801.1811 [gr-qc]

  28. A Chatterjee and S Sarkar, Phys. Rev. Lett. 108, 091301 (2012), arXiv:1111.3021 [gr-qc] S Kolekar, T Padmanabhan and S Sarkar, arXiv:1201. 2947 [gr-qc]

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Acknowledgement

This article is based on a work done by the author in collaboration with A Ghosh and B Chatterjee. The author is partially supported through the UGC BSR start-up grant vide their letter No. F. 20-1(30)/2013(BSR) /3082.

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Correspondence to AYAN CHATTERJEE.

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CHATTERJEE, A. Hawking radiation from quasilocal dynamical horizons. Pramana - J Phys 86, 307–314 (2016). https://doi.org/10.1007/s12043-015-1150-1

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  • DOI: https://doi.org/10.1007/s12043-015-1150-1

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