Abstract
It is well known that an identical pair of extremal Reissner-Nordström black holes placed a large distance apart will exert no force on each other. In this paper, I establish that the same result holds in a very large class of two-derivative effective theories containing an arbitrary number of gauge fields and moduli, where the appropriate analog of an extremal Reissner-Nordström black hole is a charged, spherically symmetric black hole with vanishing surface gravity or vanishing horizon area. Analogous results hold for black branes.
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ArXiv ePrint: 2006.09378
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Heidenreich, B. Black holes, moduli, and long-range forces. J. High Energ. Phys. 2020, 29 (2020). https://doi.org/10.1007/JHEP11(2020)029
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DOI: https://doi.org/10.1007/JHEP11(2020)029