Hamiltonian thermodynamics of a Lovelock black hole

Details Hamiltonian thermodynamics of a Lovelock black hole Hamiltonian thermodynamics of a Lovelock black hole

1996-10-30

arxiv.org/abs/gr-qc/9610071v1

Phys.Rev. D55 (1997) 3525-3535

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, REVTeX v3.0

Scientific paper

10.1103/PhysRevD.55.3525

We consider the Hamiltonian dynamics and thermodynamics of spherically symmetric spacetimes within a one-parameter family of five-dimensional Lovelock theories. We adopt boundary conditions that make every classical solution part of a black hole exterior, with the spacelike hypersurfaces extending from the horizon bifurcation three-sphere to a timelike boundary with fixed intrinsic metric. The constraints are simplified by a Kucha\v{r}-type canonical transformation, and the theory is reduced to its true dynamical degrees of freedom. After quantization, the trace of the analytically continued Lorentzian time evolution operator is interpreted as the partition function of a thermodynamical canonical ensemble. Whenever the partition function is dominated by a Euclidean black hole solution, the entropy is given by the Lovelock analogue of the Bekenstein-Hawking entropy; in particular, in the low temperature limit the system exhibits a dominant classical solution that has no counterpart in Einstein's theory. The asymptotically flat space limit of the partition function does not exist. The results indicate qualitative robustness of the thermodynamics of five-dimensional Einstein theory upon the addition of a nontrivial Lovelock term.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian thermodynamics of a Lovelock black hole 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 Hamiltonian thermodynamics of a Lovelock black hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian thermodynamics of a Lovelock black hole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92322