Repulsive Black Holes and HigherDerivatives
Abstract
In twoderivative theories of gravity coupled to matter, charged black holes are selfattractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and fourderivative corrections, zerotemperature black holes no longer need to obey the noforce condition. In this paper, we show how to calculate the longrange force between such black holes. We develop an efficient method for computing the higherderivative corrections to the scalar charges when the twoderivative theory has a shift symmetry, and compute the resulting force in a variety of examples. We find that higherderivative corrected black holes may be selfattractive or selfrepulsive, depending on the value of the Wilson coefficients and the VEVs of scalar moduli. Indeed, we find black hole solutions which are both superextremal and selfattractive. Furthermore, we present examples where no choice of higherderivative coefficients allows for selfrepulsive black hole states in all directions in charge space. This suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by the black hole spectrum alone, the Repulsive Force Conjecture requires additional constraints on the spectrum of charged particles.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.10178
 Bibcode:
 2021arXiv211010178C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 52 pages, 10 figures