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

  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},
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… 

Figures from this paper

Fundamental strings and higher derivative corrections to d-dimensional black holes

We study aspects of d-dimensional black holes with two electric charges, corresponding to fundamental strings with generic momentum and winding on an internal circle. The perturbative α′ corrections

Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation

We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term

α ′ -corrected black holes in four and higher dimensions

We consider the low-energy effective action of string theory at order α ′ , including R 2 -corrections to the Einstein-Hilbert gravitational action and non-trivial dilaton coupling. By means of a

Black holes in Hořava gravity with higher derivative magnetic terms

We consider Hořava gravity coupled to Maxwell and higher derivative magnetic terms. We construct static spherically symmetric black hole solutions in the low-energy approximation. We calculate the

The black hole weak gravity conjecture with multiple charges

We study the effect of higher-derivative corrections on asymptotically flat, four-dimensional, dyonic black holes in low-energy models of gravity coupled to N U(1) gauge fields. For large extremal

Derivative Corrections to Extremal Black Holes with Moduli

We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators. These formulas hold for black holes with arbitrary

NUT charge weak gravity conjecture from dimensional reduction

We analyze the constraints on four-derivative corrections to 5d Einstein-Maxwell theory from the black hole Weak Gravity Conjecture (WGC). We calculate the leading corrections to the extremal mass of

Large charge four-dimensional non-extremal N = 2 black holes with R2-terms

We consider N = 2 supergravity in four dimensions with small R2 curvature corrections. We construct large charge non-extremal black hole solutions in all space, with either a supersymmetric or a

Corrections to extremal black holes from Iyer-Wald formalism

It is shown that a necessary condition to decrease the mass of an extremal black hole in a canonical ensemble, as required by the Weak Gravity Conjecture, is a violation of the Dominant Energy Condition.

Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space

We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordström black holes for general dimensions and horizon geometries. We



Charged black holes in string theory.

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.

Higher Order Correction to the GHS String Black Hole

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

Black holes in higher dimensional space-times

Rigid limit in = 2 supergravity and weak-gravity conjecture

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

A note on gauge theories coupled to gravity

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

Higher order correction to the Garfinkle-Horowitz-Strominger string black hole.

  • 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.

The String landscape, black holes and gravity as the weakest force

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)

Four-dimensional black holes in string theory.

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.

Perturbative method to solve fourth-order gravity field equations.

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 $D=8\pi\mu$.