Stresses and Strains in the First Law for Kaluza-Klein Black Holes

Details Stresses and Strains in the First Law for Kaluza-Klein Black Holes Stresses and Strains in the First Law for Kaluza-Klein Black Holes

2006-07-07

arxiv.org/abs/hep-th/0607051v1

JHEP0609:022,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure, Dedicated to Rafael Sorkin in honor of his 60th Birthday

Scientific paper

10.1088/1126-6708/2006/09/022

We consider how variations in the moduli of the compactification manifold contribute pdV type work terms to the first law for Kaluza-Klein black holes. We give a new proof for the circle case, based on Hamiltonian methods, which demonstrates that the result holds for arbitrary perturbations around a static black hole background. We further apply these methods to derive the first law for black holes in 2-torus compactifications, where there are three real moduli. We find that the result can be simply stated in terms of constructs familiar from the physics of elastic materials, the stress and strain tensors. The strain tensor encodes the change in size and shape of the 2-torus as the moduli are varied. The role of the stress tensor is played by a tension tensor, which generalizes the spacetime tension that enters the first law in the circle case.

Affiliated with

Also associated with

No associations

Rating

Stresses and Strains in the First Law for Kaluza-Klein Black Holes 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 Stresses and Strains in the First Law for Kaluza-Klein Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stresses and Strains in the First Law for Kaluza-Klein Black Holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96668