Microscopic entropy of trapping horizon

Abstract

In the Carlip-Majhi-Padmanabhan approach, we calculate microscopic entropy of trapping (apparent) horizon of the FRW metric. We solve Killing equations for $t,r$ part of the metric without fixing {\it a piori} the form of the scaling factor $a(t)$ which is determined from the requirement of consistency of Killing equations. Further restrictions on the form of the Killing vector follow from the requirement that Killing vector is null at the trapping horizon at all $t$. Applying the technique used to calculate microscopic entropy of Killing horizons, we calculate microscopic entropy of trapping horizon. Using the explicit form of Killing vector, we verify that identities used in calculation of the central term of Virasoro algebra for Killing horizons of black holes are valid in the present case.

arXiv comment12 pages, References added, last section omitted, the results of this section included in Conclusions

References in corpus (33)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Hole Entropy from Near-Horizon Microstates
• The Kerr/CFT Correspondence
• Isolated and dynamical horizons and their applications
• General Laws of Black-Hole Dynamics
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Gravity and the Thermodynamics of Horizons
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Gravitational Energy in Spherical Symmetry
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Entropy from Conformal Field Theory at Killing Horizons
• Surface charge algebra in gauge theories and thermodynamic integrability
• Dynamic black-hole entropy
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Production and decay of evolving horizons
• The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
• Entropy of Three-Dimensional Black Holes in String Theory
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Hamilton-Jacobi Tunneling Method for Dynamical Horizons in Different Coordinate Gauges
• Cosmological apparent and trapping horizons
• Near-Horizon Virasoro Symmetry and the Entropy of de Sitter Space in Any Dimension
• Near-Horizon Conformal Symmetry and Black Hole Entropy in Any Dimension
• Noether Current, Horizon Virasoro Algebra and Entropy
• Black holes and black hole thermodynamics without event horizons
• Extremal Isolated Horizon/CFT Correspondence
• Extremal and nonextremal Kerr/CFT correspondences
• Spherically symmetric trapping horizons, the Misner-Sharp mass and black hole evaporation
• Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
• Effective Conformal Descriptions of Black Hole Entropy: A Review
• Conformal entropy as a consequence of the properties of stationary Killing horizons
• Entropy of isolated horizon from surface term of gravitational action