Entropic force, holography and thermodynamics for static space-times

Abstract

Recently Verlinde has suggested a new approach to gravity which interprets gravitational interaction as a kind of entropic force. The new approach uses the holographic principle by stating that the information is kept on the holographic screens which coincide with equipotential surfaces. Motivated by this new interpretation of gravity (but not being limited by it) we study equipotential surfaces, the Unruh-Verlinde temperature, energy and acceleration for various static space-times: generic spherically symmetric solutions, axially symmetric black holes immersed in a magnetic field, traversable spherically symmetric wormholes of an arbitrary shape function, system of two and more extremely charged black holes in equilibrium. In particular, we have shown that the Unruh-Verlinde temperature of the holographic screen reaches absolute zero on the wormhole throat independently of the particular form of the wormhole solution.

7 pages, to be published in European Physical Journal C (EPJC)

References in corpus (11)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• Reissner-Nordstrom black hole lensing
• Entropy of Static Spacetimes and Microscopic Density of States
• Motion of charged particles around a rotating black hole in a magnetic field
• Passage of radiation through wormholes of arbitrary shape
• Quasinormal modes of black holes immersed in a strong magnetic field
• Superradiant instability for black holes immersed in a magnetic field
• Particle motion around magnetized black holes: Preston-Poisson space-time
• Magnetized black hole as a gravitational lens
• A note on Schwarzschild black hole thermodynamics in a magnetic universe

Cited by in corpus (35)

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• Entropic Corrections to Einstein Equations
• Thermodynamics and Phase transition from regular Bardeen black hole
• On the Origin of Entropic Gravity and Inertia
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• Effects of Cosmological Constant on Clustering of Galaxies
• Observational constraints on Tsallis modified gravity
• Entropic Corrections to Coulomb's Law
• Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole
• Lovelock gravity from entropic force
• Holographic superconductors in a model of non-relativistic gravity
• Condensation of an ideal gas with intermediate statistics on the horizon
• Debye entropic force and modified Newtonian dynamics
• Thermodynamic Phase Transition and global stability of the Regular Hayward Black hole Surrounded by Quintessence
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• Einstein Equations and MOND Theory from Debye Entropic Gravity
• Thermodynamical description of the ghost dark energy model
• Modified Friedmann Equations From Debye Entropic Gravity
• First law of thermodynamics on holographic screens in entropic force frame
• Energy distribution and thermodynamics of the quantum-corrected Schwarzschild black hole
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Does entropic force always imply the Newtonian force law?
• Apparent dark matter as a non-local manifestation of emergent gravity
• Schwarzschild-de Sitter black hole from entropic viewpoint
• Thermodynamics on the Maximally Symmetric Holographic Screen and Entropy from Conical Singularities
• Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
• Motion of charged particles and quasinormal modes around the magnetically and tidally deformed black hole
• Gravity as Quantum Entanglement Force
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength