Glassy phase transition and stability in black holes

European Physical Journal C

Volumn 70, Issue 1, 2010, Pages 317-328

  Banerjee, Rabin ^a   Modak, Sujoy Kumar ^a   Samanta, Saurav ^b  

^a S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

^b NARASINHA DUTT COLLEGE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78449267511     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-010-1443-y     Document Type: Article

References (37)

1. S. W. Hawking, Black holes and thermodynamics. Phys. Rev. D 13, 191 (1976).
2. P. C. W. Davies, Thermodynamics of black holes. Rep. Prog. Phys. 41, 1313 (1978).
3. R. Banerjee, S. K. Modak, Exact differential and corrected area law for stationary black holes in tunneling method. J. High Energy Phys. 05, 063 (2009). arXiv: 0903. 3321.
4. J. E. Lidsey, S. Nojiri, S. D. Odintsov, S. Ogushi, The AdS/CFT correspondence and logarithmic corrections to braneworld cosmology and the Cardy-Verlinde formula. Phys. Lett. B 544, 337 (2002). arXiv: hep-th/0207009.
5. J. Jackle, Models of the glass transition. Rep. Prog. Phys. 49, 171 (1986).
6. S. M. Carroll, An Introduction to General Relativity: Spacetime and Geometry (Addison Wesley, San Francisco, 2004).
7. R. Banerjee, B. R. Majhi, Quantum tunneling beyond semiclassical approximation. J. High Energy Phys. 0806, 095 (2008). arXiv: 0805. 2220 [hep-th].
8. S. K. Modak, Corrected entropy of BTZ black hole in tunneling approach. Phys. Lett. B 671, 167 (2009). arXiv: 0807. 0959 [hep-th].
9. R. Banerjee, B. R. Majhi, Quantum tunneling, trace anomaly and effective metric. Phys. Lett. B 674, 218 (2009). arXiv: 0808. 3688 [hep-th].
10. B. R. Majhi, Fermion tunneling beyond semiclassical approximation. Phys. Rev. D 79, 044005 (2009). arXiv: 0809. 1508 [hep-th].
11. B. R. Majhi, S. Samanta, Hawking radiation due to photon and gravitino tunneling. arXiv: 0901. 2258 [hep-th].
12. R. Banerjee, S. K. Modak, Quantum tunneling, blackbody spectrum and non-logarithmic entropy correction for Lovelock black holes. J. High Energy Phys. 0911, 073 (2009). arXiv: 0908. 2346 [hep-th].
13. R. Banerjee, S. Gangopadhyay, S. K. Modak, Voros product, noncommutative Schwarzschild black hole and corrected area law. Phys. Lett. B 686, 181 (2010). arXiv: 0911. 2123 [hep-th].
14. D. V. Fursaev, Temperature and entropy of a quantum black hole and conformal anomaly. Phys. Rev. D 51, R5352 (1995). arXiv: hep-th/9412161.
15. R. B. Mann, S. N. Solodukhin, Universality of quantum entropy for extreme black holes. Nucl. Phys. B 523, 293 (1998). arXiv: hep-th/9709064.
16. S. Das, P. Majumdar, R. K. Bhaduri, General logarithmic corrections to black hole entropy. Class. Quantum Gravity 19, 2355 (2002). arXiv: hep-th/0111001.
17. S. S. More, Higher order corrections to black hole entropy. Class. Quantum Gravity 22, 4129 (2005). gr-qc/0410071.
18. S. Mukherjee, S. S. Pal, Logarithmic corrections to black hole entropy and AdS/CFT correspondence. J. High Energy Phys. 0205, 026 (2002). arXiv: hep-th/0205164.
19. S. Carlip, Logarithmic corrections to black hole entropy from the Cardy formula. Class. Quantum Gravity 17, 4175 (2000). arXiv: gr-qc/0005017.
20. M. R. Setare, Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Ortiz black hole. Eur. Phys. J. C 33 (2004). arXiv: hep-th/0309134.
21. G. Hooft, The scattering matrix approach for the quantum black hole: an overview. Int. J. Mod. Phys. A 11, 4623 (1996). arXiv: gr-qc/9607022.
22. D. N. Page, Hawking radiation and thermodynamics of black holes. New J. Phys. 7, 203 (2005). arXiv: hep-th/0409024.
23. S. Sarkar, S. Shankaranarayanan, L. Sriramkumar, Sub-leading contributions to the black hole entropy in the brick wall approach. Phys. Rev. D 78, 024003 (2008). arXiv: 0710. 2013 [gr-qc].
24. H. Rawson, Inorganic Glass Forming Systems (Academic Press, New York, 1967).
25. J. Wong, C. A. Angell, Glass Structure by Spectroscopy (Dekker, New York, 1976).
26. B. C. Giessen, C. N. Wagner, Liquid metals, in: ed. by S. Z. Beer Chemistry and Physics (Dekker, New York, 2010).
27. P. K. Gupta, C. T. Moynihan, Prigogine-Defay ratio for systems with more than one order parameter. J. Chem. Phys. 65, 4136 (1976).
28. C. T. Moynihan, A. V. Lesikar, Ann. N. Y. Acad. Sci. 371, 151 (1981).
29. S. W. Hawking, D. N. Page, Thermodynamics of black holes in anti-de Sitter space. Commun. Math. Phys. 87, 577 (1983).
30. M. Cvetic, S. Nojiri, S. D. Odintsov, Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity. Nucl. Phys. B 628, 295 (2002). arXiv: hep-th/0112045.
31. S. Nojiri, S. D. Odintsov, Anti-de Sitter black hole thermodynamics in higher derivative gravity and new confining-deconfining phases in dual CFT. Phys. Lett. B 521, 87 (2001). Erratum-ibid. 542, 301 (2002). arXiv: hep-th/0109122.
32. k spaces. Phys. Lett. B 681, 472 (2009). arXiv: 0909. 0919v1 [hep-th].
33. R. G. Cai, S. P. Kim, B. Wang, Ricci flat black holes and Hawking-Page phase transition in Gauss-Bonnet gravity and dilaton gravity. Phys. Rev. D 76, 024011 (2007). arXiv: 0705. 2469 [hep-th].
34. D. Anninos, G. Pastras, Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter black hole with higher derivative gauge corrections. J. High Energy Phys. 0907, 030 (2009). arXiv: 0807. 3478 [hep-th].
35. U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti, Holography and thermodynamics of 5D dilaton-gravity. J. High Energy Phys. 0905, 033 (2009). arXiv: 0812. 0792 [hep-th].
36. Y. S. Myung, Y. W. Kim, Y. J. Park, Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes. Phys. Rev. D 78, 084002 (2008). arXiv: 0805. 0187 [gr-qc].
37. 3. J. High Energy Phys. 0909, 029 (2009). arXiv: 0907. 1488 [hep-th].