Corrections to Extremal Black Holes from Iyer-Wald Formalism

Abstract

We present a general method of computing corrections to the extremality bound and entropy of Kerr-Newman black holes due to an arbitrary perturbation using the Iyer-Wald formalism. In this method, corrections to the extremality bound are given by an integral over an effective stress tensor which, in particular cases of interest, reduces to the usual stress tensor. This clarifies the relation between extremality corrections and energy conditions. In particular, we show 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 that the perturbation violates the dominant energy condition. As an application of our method, we compute higher-derivative corrections to charged black holes in anti-de Sitter space and Kerr black holes.

arXiv comment8 pages, 1 figure. v2: Minor clarifications, added reference. Matches published version

References in corpus (29)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• The String Landscape, Black Holes and Gravity as the Weakest Force
• The Swampland: Introduction and Review
• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• The Weak Gravity Conjecture and Scalar Fields
• Higher-order corrections to mass-charge relation of extremal black holes
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Energy conditions in general relativity and quantum field theory
• Weak Gravity Conjecture from Unitarity and Causality
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• Leading higher-derivative corrections to Kerr geometry
• Repulsive Forces and the Weak Gravity Conjecture
• A Universal Relation Between Corrections to Entropy and Extremality
• A Holographic Derivation of the Weak Gravity Conjecture
• Higher derivative corrections to Kerr black hole thermodynamics
• Entropy Bounds on Effective Field Theory from Rotating Dyonic Black Holes
• Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity Conjecture
• On the extremality bound of stringy black holes
• Duality and Supersymmetry Constraints on the Weak Gravity Conjecture
• The Black Hole Weak Gravity Conjecture with Multiple Charges
• A New Spin on the Weak Gravity Conjecture
• Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance
• Stringy corrections to the entropy of electrically charged supersymmetric black holes with ${\mathrm{AdS}}_5\times S^5$ asymptotics
• More on the Weak Gravity Conjecture via Convexity of Charged Operators
• A NUT Charge Weak Gravity Conjecture from Dimensional Reduction
• Komar integral and Smarr formula for axion-dilaton black holes versus S duality

Cited by in corpus (14)

• The Weak Gravity Conjecture: A Review
• Implications of the Weak Gravity Conjecture for Tidal Love Numbers of Black Holes
• Higher-derivative holography with a chemical potential
• Axion wormholes with massive dilaton
• Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture
• From Rotating to Charged Black Holes and Back Again
• Self-Binding Energies in AdS
• Convexity of Charged Operators in CFTs with Multiple Abelian Symmetries
• The extremal Kerr entropy in higher-derivative gravities
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Gravitational Waves on Charged Black Hole Backgrounds in Modified Gravity
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity