Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-19
JHEP 0905:063,2009
Physics
High Energy Physics
High Energy Physics - Theory
references added, typos corrected, LaTeX, 28 pages, no figures, to appear in JHEP
Scientific paper
10.1088/1126-6708/2009/05/063
We give a new and conceptually simple approach to obtain the first law of black hole thermodynamics from a basic thermodynamical property that entropy (S) for any stationary black hole is a state function implying that dS must be an exact differential. Using this property we obtain some conditions which are analogous to Maxwell's relations in ordinary thermodynamics. From these conditions we are able to explicitly calculate the semiclassical Bekenstein-Hawking entropy, considering the most general metric represented by the Kerr-Newman spacetime. We extend our method to find the corrected entropy of stationary black holes in (3+1) dimensions. For that we first calculate the corrected Hawking temperature considering both scalar particle and fermion tunneling beyond the semiclassical approximation. Using this corrected Hawking temperature we compute the corrected entropy, based on properties of exact differentials. The connection of the coefficient of the leading (logarithmic) correction with the trace anomaly of the stress tensor is established . We explicitly calculate this coefficient for stationary black holes with various metrics, emphasising the role of Komar integrals.
Banerjee Rabin
Modak Sujoy Kumar
No associations
LandOfFree
Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-648649