Black hole evaporation in a spherically symmetric non-commutative space-time

Abstract

Recent work in the literature has studied the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time. The relevant quantum amplitudes have been evaluated for bosonic and fermionic fields, showing that no information is lost in collapse to a black hole. On the other hand, recent developments in noncommutative geometry have shown that, in general relativity, the effects of non-commutativity can be taken into account by keeping the standard form of the Einstein tensor on the left-hand side of the field equations and introducing a modified energy-momentum tensor as a source on the right-hand side. Relying on the recently obtained non-commutativity effect on a static, spherically symmetric metric, we have considered from a new perspective the quantum amplitudes in black hole evaporation. The general relativity analysis of spin-2 amplitudes has been shown to be modified by a multiplicative factor F depending on a constant non-commutativity parameter and on the upper limit R of the radial coordinate. Limiting forms of F have been derived which are compatible with the adiabatic approximation.

8 pages, Latex file with IOP macros, prepared for the QFEXT07 Conference, Leipzig, September 2007

References in corpus (8)

• Trace Anomaly in Quantum Spacetime Manifold
• Noncommutative $D_3$-brane, Black Holes and Attractor Mechanism
• Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism
• Gravitational amplitudes in black-hole evaporation: the effect of non-commutative geometry
• Probing quantum gravity effects in black holes at LHC
• Coherent and squeezed states in black-hole evaporation
• Quantum amplitudes in black-hole evaporation: Spins 1 and 2
• The scalar wave equation in a non-commutative spherically symmetric space-time

Cited by in corpus (5)

• Self-sustained traversable wormholes in noncommutative geometry
• Strong gravitational lensing in a noncommutative black-hole spacetime
• A noncommutative approach to the cosmological constant problem
• Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling
• Quantum effects in topological and Schwarzschild de Sitter brane: Aspects of torsion on $(\mathbf{D}\bar{\mathbf{D}}{)}_4$-brane universe