Komar integral and Smarr formula for axion-dilaton black holes versus S duality - INSPIRE

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Komar integral and Smarr formula for axion-dilaton black holes versus S duality

Jun 14, 2021

19 pages

Published in:

JHEP 08 (2021) 019

Published: Aug 4, 2021

e-Print:

2106.07495 [hep-th]

DOI:

10.1007/JHEP08(2021)019

Report number:

IFT-UAM/CSIC-21-065

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Abstract: (Springer)

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.

Note:

LaTeX file, 19 pages, no figures

Black Holes
Classical Theories of Gravity
Supersymmetry and Duality
black hole: dilaton
charge: magnetic
invariance: symplectic
duality: transformation
gravitation: dilaton
SL(2,R)
S-duality

References(41)

Figures(0)

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