Comparison of Approaches to Quantum Correction of Black Hole Thermodynamics
arXiv:gr-qc/0601116 · doi:10.1016/j.physletb.2006.01.043
Abstract
There are several approaches to quantum gravitational corrections of black hole thermodynamics. String theory and loop quantum gravity, by direct analysis on the basis of quantum properties of black holes, show that in the entropy-area relation the leading order correction should be of log-area type. On the other hand, generalized uncertainty principle(GUP) and modified dispersion relations(MDRs) provide perturbational framework for such modifications. Although both GUP and MDRs are common features of all quantum gravity scenarios, their functional forms are quantum gravity model dependent. Since both string theory and loop quantum gravity give more reliable solution of the black hole thermodynamics, one can use their results to test approximate results of GUP and MDRs. In this paper, we find quantum corrected black hole thermodynamics in the framework of GUP and MDR and then we compare our results with string theory solutions. This comparison suggests severe constraints on the functional form of GUP and MDRs. These constraints may reflect characteristic features of ultimate quantum gravity theory.
10 Pages, No Figures
References in corpus (3)
Cited by in corpus (66)
- Dynamics of dark energy
- Quintom Cosmology: Theoretical implications and observations
- Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
- Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
- Reconstructing holographic quintessence
- Dark Energy with Phantom Crossing and the tension
- Cosmological coincidence problem in interacting dark energy models
- Interacting Vector-like Dark Energy, the First and Second Cosmological Coincidence Problems
- Crossing of the phantom divide in modified gravity
- Quintom cosmologies admitting either tracking or phantom attractors
- Quintom cosmologies with arbitrary potentials
- Two-Field Quintom Models in the w-w' Plane
- Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
- Observational Data and Cosmological Models
- On the way from matter-dominated era to dark energy universe
- Age Problem in the Holographic Dark Energy Model
- Bouncing and Accelerating Solutions in Nonlocal Stringy Models
- Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis
- Late acceleration and crossing in induced gravity
- Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
- Internal space structure generalization of the quintom cosmological scenario
- Crossing by a single scalar on a Dvali-Gabadadze-Porrati brane
- Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
- Critical comments on the paper "Crossing by a single scalar field on a Dvali-Gabadadze-Porrati brane" by H Zhang and Z-H Zhu [Phys.Rev.D75,023510(2007)]
- Reconstruction of Hessence Dark Energy and the Latest Type Ia Supernovae Gold Dataset
- The past and future dynamics of quintom dark energy models
- Non-local SFT Tachyon and Cosmology
- Cosmic acceleration and crossing of w=-1 barrier in non-local Cubic Superstring Field Theory model
- A New Approach to Quintessence and a Solution of Multiple Attractors
- Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
- General solution of scalar field cosmology with a (piecewise) exponential potential
- Particle vs. future event horizon in interacting holographic dark energy model
- Cheng-Weyl Vector Field and its Cosmological Application
- Braneworld dynamics in Einstein-Gauss-Bonnet gravity
- Crossing the phantom barrier with purely kinetic multiple k-essence
- Stable Models of superacceleration
- Black Holes in the Universe: Generalized Lemaitre-Tolman-Bondi Solutions
- Crossing of the w=-1 Barrier in Two-Fluid Viscous Modified Gravity
- Exact models with non-minimal interaction between dark matter and (either phantom or quintessence) dark energy
- Gauss-Bonnet Chameleon Mechanism of Dark Energy
- Natural Phantom Dark Energy, Wiggling Hubble Parameter and Direct Data
- Late-time acceleration and Phantom Divide Line Crossing with Non-minimal Coupling and Lorentz Invariance Violation
- Cosmological Evolution of a Tachyon-Quintom Model of Dark Energy
- Reconstruction of scalar potentials in two-field cosmological models
- Crossing of the Phantom Divided Barrier with Lorentz Invariance Violating Fields
- Networks of cosmological histories, crossing of the phantom divide line and potentials with cusps
- Attractor Solution in Coupled Yang-Mills Field Dark Energy Models
- Symmetry breaking and the onset of cosmic acceleration in scalar field models
- Phantom universe from CPT symmetric QFT
- Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
- Crossing the phantom divide line in universal extra dimensions
- Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle
- Falsifying Field-based Dark Energy Models
- Two-Fluid Viscous Modified Gravity on a RS Brane
- Fractional Einstein-Gauss-Bonnet scalar field cosmology
- A Lorentz Invariance Violating Cosmology on the DGP Brane
- Qualitative analysis and characterization of two cosmologies including scalar fields
- Hybrid Chaplygin gas and phantom divide crossing
- Braneworld cosmology in the sourced-Taub background
- Reconstructing quintom from WMAP 5-year observations: Generalized ghost condensate
- Cosmic acceleration in screening hybrid quintessence model
- Black Holes in Accelerated Universe
- Considering Late-Time Acceleration in some Cosmological Models
- Crossing the phantom divide with a classical Dirac field
- Inflation is the generic feature of phantom field-not the big-rip
- Parameterization and Reconstruction of Quasi Static Universe