Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes

Abstract

We present a consolidated manual of Euclidean gravity approaches for finding the logarithmic corrections to the entropy of the full Kerr-Newman family of black holes in both extremal and non-extremal limits. Seeley-DeWitt coefficients for the quadratic fluctuations of a concern gravity theory appear to be the key ingredients in this manual. Following the manual, we calculate the first three Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes in a generalized Einstein-Maxwell theory minimally-coupled to additional massless scalar, vector, spin-1/2 Dirac and spin-3/2 Rarita-Schwinger fields. We finally employ the Seeley-DeWitt data to reproduce the logarithmic entropy corrections for extremal black holes in all $\mathcal{N}\ge 2$ Einstein-Maxwell supergravity via an alternative local supersymmetrization method.

arXiv commentv3: version published in PHYSICAL REVIEW D

References in corpus (53)

• Heat kernel expansion: user's manual
• Flux compactifications in string theory: a comprehensive review
• Black Hole Entropy in M-Theory
• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Hawking Radiation and Black Hole Thermodynamics
• Quantum Tunneling Beyond Semiclassical Approximation
• Corrections to macroscopic supersymmetric black-hole entropy
• The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Universality of Quantum Entropy for Extreme Black Holes
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Entropy Function for Heterotic Black Holes
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Fermion Tunneling Beyond Semiclassical Approximation
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Quantum Tunneling and Trace Anomaly
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
• Kretschmann Scalar for a Kerr-Newman Black Hole
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Conical geometry and quantum entropy of a charged Kerr black hole
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
• Arithmetic of Quantum Entropy Function
• Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
• Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
• A comment on black hole entropy or does Nature abhor a logarithm?
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
• Hawking Radiation due to Photon and Gravitino Tunneling
• Aspects of hairy black holes in spontaneously-broken Einstein-Yang-Mills systems: Stability analysis and Entropy considerations
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• A note on the heat kernel method applied to fermions
• Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory
• Entanglement entropy of round spheres
• The Kerr-Newman metric: A Review
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Logarithmic correction to BH entropy as Noether charge
• Seeley-DeWitt Coefficients in $\mathcal{N}=2$ Einstein-Maxwell Supergravity Theory and Logarithmic Corrections to $\mathcal{N}=2$ Extremal Black Hole Entropy
• Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
• Generalized Mirror Symmetry and Quantum Black Hole Entropy
• Logarithmic corrections to black hole entropy in matter coupled $\mathcal{N}\ge 1$ Einstein-Maxwell supergravity
• General heat kernel coefficients for massless free spin-3/2 Rarita-Schwinger field
• Entropy function from the gravitational surface action for an extremal near horizon black hole
• Logarithmic correction to the entropy of extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Universal Corrections to Black Hole Entropy in $\mathcal{N}\ge 2$ Supergravity
• The heat kernel approach for calculating the effective action in quantum field theory and quantum gravity

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• Logarithmic corrections to the entropy of non-extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Bianchi IX geometry and the Einstein-Maxwell theory
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models