Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-03-26
Phys.Rev. D58 (1998) 064020
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, no figures
Scientific paper
10.1103/PhysRevD.58.064020
We analyze black hole thermodynamics in a generalized theory of gravity whose Lagrangian is an arbitrary function of the metric, the Ricci tensor and a scalar field. We can convert the theory into the Einstein frame via a "Legendre" transformation or a conformal transformation. We calculate thermodynamical variables both in the original frame and in the Einstein frame, following the Iyer--Wald definition which satisfies the first law of thermodynamics. We show that all thermodynamical variables defined in the original frame are the same as those in the Einstein frame, if the spacetimes in both frames are asymptotically flat, regular and possess event horizons with non-zero temperatures. This result may be useful to study whether the second law is still valid in the generalized theory of gravity.
Koga Jun-ichirou
Maeda Kei--ichi
No associations
LandOfFree
Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory 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 Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-387156