# Higher-order corrections to mass-charge relation of extremal black holes

@article{Kats2006HigherorderCT,
title={Higher-order corrections to mass-charge relation of extremal black holes},
author={Yevgeny Kats and Lubo{\vs} Motl and Megha Padi},
journal={arXiv: High Energy Physics - Theory},
year={2006}
}
• Published 12 June 2006
• Physics
• arXiv: High Energy Physics - Theory
We investigate the hypothesis that the higher-derivative corrections always make extremal non-supersymmetric black holes lighter than the classical bound and self-repulsive. This hypothesis was recently formulated in the context of the so-called swampland program. One of our examples involves an extremal heterotic black hole in four dimensions. We also calculate the effect of general four-derivative terms in Maxwell-Einstein theories in D dimensions. The results are consistent with the…
169 Citations

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## References

SHOWING 1-10 OF 26 REFERENCES

• Physics
Physical review. D, Particles and fields
• 1991
A family of solutions to low-energy string theory representing static, spherically symmetric charged black holes is described, and the extremal charged "black holes" are found to be geodesically complete spacetimes with no event horizons and no singularities.
We study the order α ′ correction to the string black hole found by Garﬁnkle, Horowitz, and Strominger. We include all operators of dimension up to four in the Lagrangian, and use the ﬁeld
• Physics, Geology
• 2007
We analyze the coupled = 2 supergravity and Yang-Mills system using holomorphy, near the rigid limit where the former decouples from the latter. We find that there appears generically a new mass
• Physics
• 2006
We analyze the bound on gauge couplings e ≥ m/mp, suggested by Arkani-Hamed et.al. We show this bound can be derived from simple semi-classical considerations and holds in spacetime dimensions
• Natsuume
• Mathematics
Physical review. D, Particles and fields
• 1994
A mass correction, which is implied by the work of Giddings, Polchinski, and Strominger, is found for the extremal GHS black hole.
• Physics
• 2007
We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)
• Physics
Physical review. D, Particles and fields
• 1993
Renormalization-group arguments are given that suggest the potential gravitational singularity of the low-energy field theory is resolved by a massive two-dimensional field theory.
• Physics
Physical review. D, Particles and fields
• 1994
It is obtained that static, cylindricaly symmetric gauge cosmic strings, with constant energy density, can contain only $\beta$-terms in the first order corrections to the interior gravitational field, while the exact exterior solution is a conical spacetime with deficit angle $D=8\pi\mu$.