No logarithmic corrections to entropy in shift-symmetric Gauss-Bonnet gravity

Abstract

Employing the covariant phase space formalism, we discuss black hole thermodynamics in four-dimensional scalar-tensor Einstein-Gauss-Bonnet gravity. We argue that logarithmic corrections to Wald entropy previously reported in this theory do not appear, due to the symmetry of the theory under constant shifts of the scalar field. Instead, we obtain the standard Bekenstein entropy of general relativity. Then, to satisfy the first law of black hole mechanics, the Hawking temperature must be modified. It has been proposed that such temperature modifications occur generically in scalar-tensor theories, due to different propagation speeds of gravitons and photons. We show that the temperature modifications also emerge in the Euclidean canonical ensemble approach to black hole thermodynamics. Notably, the boundary terms of the type we consider here can be considered in any scalar-tensor gravitational theories. Hence, we illustrate that adding a suitable boundary term to action may drastically affect black hole thermodynamics, changing both the entropy and the temperature.

arXiv comment29 pages, text matches the version published in JHEP. Comments welcome

References in corpus (40)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Analogue Gravity
• Quantum corrections to holographic entanglement entropy
• Logarithmic correction to the Bekenstein-Hawking entropy
• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Entanglement entropy of black holes
• Entropy of Lovelock Black Holes
• Sonic black holes in dilute Bose-Einstein condensates
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Essential and inessential features of Hawking radiation
• The Microcanonical Functional Integral. I. The Gravitational Field
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Black Hole Chemistry
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations II: the even-parity sector
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Lower-Dimensional Black Hole Chemistry
• A note on the total action of $4D$ Gauss-Bonnet theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom
• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Causal Structures in Gauss-Bonnet gravity
• Surface gravities for non-Killing horizons
• Second Law Violations in Lovelock Gravity for Black Hole Mergers
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• Graviton time delay and a speed limit for small black holes in Einstein-Gauss-Bonnet theory
• Liouville Black Holes
• On Black Hole Temperature in Horndeski Gravity
• Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions
• Lagrangian perfect fluids and black hole mechanics
• On Swift Gravitons
• Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories
• Black Hole Entropy and Boundary Conditions

Cited by in corpus (6)

• Euclidean and Hamiltonian thermodynamics for regular black holes
• Thermodynamics, Phase Transition and Joule Thomson Expansion of 4-D Gauss-Bonnet AdS Black Hole
• Euclidean methods and phase transitions for the strongest deformations compatible with Schwarzschild asymptotics
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
• Mergers of hairy black holes: Constraining topological couplings from entropy