The extremal Kerr entropy in higher-derivative gravities

Abstract

We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with ${\alpha }^{\prime }$ corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon extremal geometry of these black holes, we are able to compute the Iyer-Wald entropy as well as the angular momentum via generalized Komar integrals. In the case of the stringy corrections, we obtain the physically relevant relation $S(J)$ at order ${\alpha }^{\prime 2}$. On the other hand, the cubic theories, which are chosen as Einsteinian cubic gravity plus a new odd-parity density with analogous features, possess special integrability properties that enable us to obtain exact results in the higher-derivative couplings. This allows us to find the relation $S(J)$ at arbitrary orders in the couplings and even to study it in a non-perturbative way. We also extend our analysis to the case of the extremal Kerr-(A)dS black hole.

arXiv comment33 pages+appendices, one figure

References in corpus (62)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Enthalpy and the Mechanics of AdS Black Holes
• Chern-Simons Modified General Relativity
• D--branes and Spinning Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Rotating Charged Black Hole Solution in Heterotic String Theory
• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Rotating Attractors
• Entropy of 4D Extremal Black Holes
• Einsteinian cubic gravity
• Slowly rotating black holes in alternative theories of gravity
• Black holes in an Effective Field Theory extension of GR
• Entropy Function for Heterotic Black Holes
• Spinning black holes in Einstein--Gauss-Bonnet--dilaton theory: non-perturbative solutions
• Black Hole Microstates and Attractor Without Supersymmetry
• Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities
• Leading higher-derivative corrections to Kerr geometry
• Four-dimensional black holes in Einsteinian cubic gravity
• Generalized quasi-topological gravity
• Aspects of general higher-order gravities
• Black holes in Einsteinian cubic gravity
• (Generalized) quasi-topological gravities at all orders
• Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
• Entropy function and attractors for AdS black holes
• Lectures on AdS Black Holes, Holography and Localization
• Higher derivative corrections to Kerr black hole thermodynamics
• On black holes in higher-derivative gravities
• Quintessential Quartic Quasi-topological Quartet
• Komar Integrals in Higher (and Lower) Derivative Gravity
• Holographic studies of Einsteinian cubic gravity
• All higher-curvature gravities as Generalized quasi-topological gravities
• Non-perturbative spinning black holes in dynamical Chern-Simons gravity
• Heterotic Moduli Stabilisation
• Universal black hole stability in four dimensions
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Slowly rotating black holes in Einsteinian cubic gravity
• Some aspects of field equations in generalised theories of gravity
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• NUTs and bolts beyond Lovelock
• R^2 Corrections for 5D Black Holes and Rings
• String gravity in $D=4$
• Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Komar integrals for theories of higher order in the curvature and black-hole chemistry
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Local String Models and Moduli Stabilisation
• Entropy function for rotating extremal black holes in very special geometry
• Stringy corrections to the entropy of electrically charged supersymmetric black holes with ${\mathrm{AdS}}_5\times S^5$ asymptotics
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• Deformation of extremal black holes from stringy interactions
• Exact charges from heterotic black holes
• Corrections to Extremal Black Holes from Iyer-Wald Formalism
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• On small black holes, KK monopoles and solitonic 5-branes
• Quasi-topological Gravities on General Spherically Symmetric Metric

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• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution