Logarithmic corrections to the entropy of non-extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity

Abstract

We reviewed the field redefinition approach of Seeley-DeWitt expansion for the determination of Seeley-DeWitt coefficients from arXiv:1505.01156. We apply this approach to compute the first three Seeley-DeWitt coefficients for \say{non-minimal} $\mathcal{N}=1$ Einstein-Maxwell supergravity in four dimensions. Finally, we use the third coefficient for the computation of the logarithmic corrections to the Bekenstein-Hawking entropy of non-extremal black holes following arXiv:1205.0971. We determine the logarithmic corrections for non-extremal Kerr-Newman, Kerr, Reissner-Nordström and Schwarzschild black holes in \say{non-minimal} $\mathcal{N}=1$, $d=4$ Einstein-Maxwell supergravity.

arXiv commentVersion published in JHEP

References in corpus (33)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Heat kernel expansion: user's manual
• Entanglement entropy of black holes
• 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
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• 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
• 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
• Higher derivative corrections to Kerr black hole thermodynamics
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Black Hole Microstate Counting and its Macroscopic Counterpart
• 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
• Black-Hole Attractors in N=1 Supergravity
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Entropy Function for Non-Extremal Black Holes in String Theory
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Seeley-DeWitt Coefficients in $\mathcal{N}=2$ Einstein-Maxwell Supergravity Theory and Logarithmic Corrections to $\mathcal{N}=2$ Extremal Black Hole Entropy
• Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes
• 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
• Kerr-Newman Black Holes with String Corrections
• Logarithmic correction to the entropy of extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity

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