GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
arXiv:2103.05755 · doi:10.1142/S0217732322501863
Abstract
We obtain the statistical entropy of a scalar field on the Schwarzschild black hole in holographic massive gravity by considering corrections on the density of quantum states to all orders in the Planck length from a generalized uncertainty principle (GUP). As a result, we find not only the generalized Bekenstein-Hawking entropy depending on holographically massive gravitons without any artificial cutoff, but also new additional correction terms, which are proportional to surface gravity. Moreover, we also observe that all order GUP corrected entropy is improved to have smaller GUP parameter than the previous results.
arXiv comment12 pages, 3 figures, version to appear in MPLA
References in corpus (72)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Resummation of Massive Gravity
- Quantum gravity and minimum length
- Generalization of the Fierz-Pauli Action
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- The Generalized Uncertainty Principle and Black Hole Remnants
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Black hole entropy in Loop Quantum Gravity
- Minimal Length Scale Scenarios for Quantum Gravity
- Quantum Spacetime Phenomenology
- Black hole entropy from Quantum Geometry
- Ghost-free Massive Gravity with a General Reference Metric
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- When conceptual worlds collide: The GUP and the BH entropy
- Feynman Path Integral on the Noncommutative Plane
- Thermodynamics of Black Holes in Massive Gravity
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Black Hole Entropy without Brick Walls
- Universal Resistivity from Holographic Massive Gravity
- Generalized Uncertainty Principle, Extra-dimensions and Holography
- Momentum relaxation in holographic massive gravity
- van der Waals like behaviour of topological AdS black holes in massive gravity
- Holographic Lattices Give the Graviton a Mass
- UV divergence-free QFT on noncommutative plane
- Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
- Black hole thermodynamics with generalized uncertainty principle
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Entropy for dilatonic black hole
- Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
- Self-consistency in Theories with a Minimal Length
- Black hole entropy without brick walls
- Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
- Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
- A Self-consistent Model of the Black Hole Evaporation
- Black holes in massive gravity as heat engines
- Black holes, brick walls and the Boulware state
- Modified dispersion relations and black hole physics
- Entropy of the Schwarzschild black hole to all orders in the Planck length
- On the Hamiltonian analysis of non-linear massive gravity
- Entropy in the Kerr-Newman Black Hole
- Degrees of Freedom in Massive Gravity
- Covariant constraints in ghost free massive gravity
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Hawking-Page transition in holographic massive gravity
- Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
- Entropy of the BTZ Black Hole in 2+1 Dimensions
- Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method
- Phase transitions and geothermodynamics of black holes in dRGT massive gravity
- Note About Hamiltonian Structure of Non-Linear Massive Gravity
- Insights and possible resolution to the information loss paradox via the tunneling picture
- Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
- Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
- Renormalized Thermodynamic Entropy of Black Holes in Higher Dimensions
- Black String in dRGT Massive Gravity
- Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar field
- Comments About Hamiltonian Formulation of Non-Linear Massive Gravity with Stuckelberg Fields
- Linear and Quadratic GUP, Liouville Theorem, Cosmological Constant, and Brick Wall Entropy
- The Absence of Horizon in Black-Hole Formation
- Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism
- The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
- Sub-leading contributions to the black hole entropy in the brick wall approach
- Generalized Vaidya Solutions and Misner-Sharp mass for -dimensional massive gravity
- Entropy of the Randall-Sundrum black brane world in the brick-wall method
- Scalar Field Contribution to Rotating Black Hole Entropy
- Late-time tails, entropy aspects, and stability of black holes with anisotropic fluids
- Brick Walls on the Brane
- Entropy and temperatures of Nariai black hole
- Thermodynamic phase transition based on the non-singular temperature
- Local free-fall temperatures of charged BTZ black holes in massive gravity
- Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
- GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity
- Revision of the brick wall method for calculating the black hole thermodynamic quantities