Mass and Force Relations for Extremal EMDA Black Holes

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Main Authors: Cremonini, Sera, Cvetic, Mirjam, Pope, Christopher N, Saha, Aritra
Format: Preprint
Published: 2024
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author Cremonini, Sera
Cvetic, Mirjam
Pope, Christopher N
Saha, Aritra
author_facet Cremonini, Sera
Cvetic, Mirjam
Pope, Christopher N
Saha, Aritra
contents We investigate various properties of extremal dyonic static black holes in Einstein-Maxwell-Dilaton-Axion theory. We obtain a simple first-order ordinary differential equation for the black hole mass in terms of its electric and magnetic charges, which we can solve explicitly for certain special values of the scalar couplings. For one such case we also construct new dyonic black hole solutions, making use of the presence of an enhanced SL(2,R) symmetry. Finally, we investigate the structure of long range forces and binding energies between non-equivalent extremal black holes. For certain special cases, we can identify regions of parameter space where the force is always attractive or repulsive. Unlike in the case without an axion, the force and binding energies between distinct black holes are not always correlated with each other. Our work is motivated in part by the question of whether long range forces between non-identical states can potentially encode information about UV constraints on low-energy physics.
format Preprint
id arxiv_https___arxiv_org_abs_2412_12277
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mass and Force Relations for Extremal EMDA Black Holes
Cremonini, Sera
Cvetic, Mirjam
Pope, Christopher N
Saha, Aritra
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We investigate various properties of extremal dyonic static black holes in Einstein-Maxwell-Dilaton-Axion theory. We obtain a simple first-order ordinary differential equation for the black hole mass in terms of its electric and magnetic charges, which we can solve explicitly for certain special values of the scalar couplings. For one such case we also construct new dyonic black hole solutions, making use of the presence of an enhanced SL(2,R) symmetry. Finally, we investigate the structure of long range forces and binding energies between non-equivalent extremal black holes. For certain special cases, we can identify regions of parameter space where the force is always attractive or repulsive. Unlike in the case without an axion, the force and binding energies between distinct black holes are not always correlated with each other. Our work is motivated in part by the question of whether long range forces between non-identical states can potentially encode information about UV constraints on low-energy physics.
title Mass and Force Relations for Extremal EMDA Black Holes
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2412.12277