2006/07/07 by David Kastor, Jennie Traschen · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Computer security #Cosmology and Gravitation Theories #Kaluza–Klein theory #Law #Physics #Political science #Pulsars and Gravitational Waves Research #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/09/022
published as JHEP0609:022,2006 · 18 pages, 1 figure, Dedicated to Rafael Sorkin in honor of his 60th Birthday
arxiv created 2006/07/07 · openalex publication_date 2006/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.