Modified dispersion relations in extra dimensions
arXiv:1012.1406 · doi:10.1016/j.physletb.2010.11.067
Abstract
It has recently been shown that the thermodynamics of a FRW universe can be fully derived using the generalized uncertainty principle (GUP) in extra dimensions as a primary input. There is a phenomenologically close relation between the GUP and Modified Dispersion Relations (MDR). However, the form of the MDR in theories with extra dimensions is as yet not known. The purpose of this letter is to derive the MDR in extra dimensional scenarios. To achieve this goal, we focus our attention on the thermodynamics of a FRW universe within a proposed MDR in an extra dimensional model universe. We then compare our results with the well-known results for the thermodynamics of a FRW universe in an extra dimensional GUP setup. The result shows that the entropy functionals calculated in these two approaches are the same, pointing to a possible conclusion that these approaches are equivalent. In this way, we derive the MDR form in a model universe with extra dimensions that would have interesting implications on the construction of the ultimate quantum gravity scenario.
9 pages, to appear in PLB
References in corpus (55)
- Noncommutative Field Theory
- Hawking Radiation as Tunneling
- Background Independent Quantum Gravity: A Status Report
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Nonstandard optics from quantum spacetime
- The Generalized Uncertainty Principle and Black Hole Remnants
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- General Laws of Black-Hole Dynamics
- Generalized Lorentz invariance with an invariant energy scale
- Loop Quantum Gravity
- Unified first law of black-hole dynamics and relativistic thermodynamics
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Quantum gravity corrections to neutrino propagation
- Gravitational Energy in Spherical Symmetry
- Non-equilibrium Thermodynamics of Spacetime
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
- Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
- When conceptual worlds collide: The GUP and the BH entropy
- Hawking Radiation of Apparent Horizon in a FRW Universe
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- Thermodynamics of Apparent Horizon in Brane World Scenario
- Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
- Black hole thermodynamics with generalized uncertainty principle
- Deformed Special Relativity as an effective flat limit of quantum gravity
- Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Black hole entropy without brick walls
- Energy and entropy conservation for dynamical black holes
- Thermodynamics of Apparent Horizon in Brane World Scenarios
- Modified dispersion relations and black hole physics
- Gravitational Uncertainty and Black Hole Remnants
- Thermodynamics of a black hole based on a generalized uncertainty principle
- Energy conservation for dynamical black holes
- Spin-Coefficient Form of the New Laws of Black-Hole Dynamics
- A phenomenological description of quantum-gravity-induced space-time noise
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- First law of thermodynamics and Friedmann-like equations in braneworld cosmology
- Quasi-local first law of black-hole dynamics
- Modified dispersion relations and (A)dS Schwarzschild Black holes
- Modified Dispersion Relations and Black Hole Entropy
- Canonical entropy of three-dimensional BTZ black hole
- A glimpse at the flat-spacetime limit of quantum gravity using the Bekenstein argument in reverse
- On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
- Generalized uncertainty principle and correction value to the black hole entropy
- Determining the Minimal Length Scale of the Generalized Uncertainty Principle from the Entropy-Area Relationship
- Thermodynamics of Friedmann Equation and Masslike Function in General Braneworld
- Brane-world black hole entropy from modified dispersion relations
- Unified First Law and Thermodynamics of Dynamical Black Hole in n-dimensional Vaidya Spacetime
- Bouncing universe from a modified dispersion relation
- Entropy of Kerr-Newman black hole to all orders in the Planck length
Cited by in corpus (48)
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- Minimal Length Scale Scenarios for Quantum Gravity
- Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
- Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
- Generalized framework for testing gravity with gravitational-wave propagation. I. Formulation
- Black Hole Based Tests of General Relativity
- Tests of General Relativity with GWTC-3
- The Science Case for LIGO-India
- Theoretical Physics Implications of Gravitational Wave Observation with Future Detectors
- Waveform of gravitational waves in the general parity-violating gravities
- Parameterized and inspiral-merger-ringdown consistency tests of gravity with multi-band gravitational wave observations
- Measuring Speed of Gravitational Waves by Observations of Photons and Neutrinos from Compact Binary Mergers and Supernovae
- Model-independent constraints on Lorentz invariance violation: implication from updated Gamma-ray burst observations
- Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
- Constraining the propagation speed of gravitational waves with compact binaries at cosmological distances
- Tunable multiple layered Dirac cones in optical lattices
- Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation
- The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
- Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
- Thermodynamics and Luminosities of Rainbow Black Holes
- Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
- Revisiting Tests of Lorentz Invariance with Gamma-ray Bursts: Effects of Intrinsic Lags
- Gravitational wave constraints on non-birefringent dispersions of gravitational waves due to Lorentz violations with GWTC-3
- The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence
- How can rainbow gravity affect on gravitational force?
- Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
- Phenomenological Inclusion of Alternative Dispersion Relations to the Teukolsky Equation and its Application to Bounding the Graviton Mass with Gravitational-wave Measurements
- A possible cosmological application of some thermodynamic properties of the black body radiation in dimensional Euclidean spaces
- Radiation of Charged Black Holes and Modified Dispersion Relation
- Cosmological Model Independent Time Delay Method
- Testing dispersion of gravitational waves from eccentric extreme-mass-ratio inspirals
- Recent LIGO-Virgo discoveries
- Strong lensing of gravitational waves with modified propagation
- Probing Fundamental Physics with Gravitational Waves
- Parameter estimation for a Lorentz invariance violation
- Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
- Lorentz violation and red shift of gravitational waves in brane-worlds
- Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
- Ten years of extreme gravity tests of general theory of relativity with gravitational-wave observations
- Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
- The Multi-parameter Test of Gravitational Wave Dispersion with Principal Component Analysis
- Deformation of Nanowires and Nanotubes
- Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
- From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory