Komar integral and Smarr formula for axion-dilaton black holes versus S duality
High Energy Physics - Theory
2021-09-01 v1 General Relativity and Quantum Cosmology
Abstract
We construct the Komar integral for axion-dilaton gravity using Wald's formalism and momentum maps and we use it to derive a Smarr relation for stationary axion-dilaton black holes. While the Wald-Noether 2-form charge is not invariant under SL(2,R) electric-magnetic duality transformations because Wald's formalism does not account for magnetic charges and potentials, the Komar integral constructed with it turns out to be invariant and, in more general theories, it will be fully symplectic invariant. We check the Smarr formula obtained with the most general family of static axion-dilaton black holes.
Keywords
Cite
@article{arxiv.2106.07495,
title = {Komar integral and Smarr formula for axion-dilaton black holes versus S duality},
author = {Dimitrios Mitsios and Tomás Ortín and David Pereñíguez},
journal= {arXiv preprint arXiv:2106.07495},
year = {2021}
}
Comments
LaTeX file, 19 pages, no figures