Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method

Details Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method

2006-02-23

arxiv.org/abs/hep-th/0602243v2

Phys.Rev.D73:104003,2006

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure, a few references added, typos corrected

Scientific paper

10.1103/PhysRevD.73.104003

We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of third order Lovelock gravity with zero curvature boundary at constant $t$ and $r$. Then, we compute the charged rotating solutions of this theory in $n+1$ dimensions with a complete set of allowed rotation parameters. These charged rotating solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided the parameters of the solutions are chosen suitable. We compute temperature, entropy, charge, electric potential, mass and angular momenta of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We find a Smarr-type formula and perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable. This is commensurate with the fact that there is no Hawking-Page phase transition for black objects with zero curvature horizon.

Affiliated with

Also associated with

No associations

Rating

Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm 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 Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711641