Two-dimensional semiclassical static black holes: Finite-mass correction to the Hawking temperature and outflux

Abstract

In the two-dimensional framework, the surface gravity of a (classical) black hole is independent of its mass $M$. As a consequence, the Hawking temperature and outflux are also independent of $M$ at the large-$M$ limit. (This contrasts with the four-dimensional framework, in which the surface gravity and temperature scale as 1/M.) However, when the semiclassical backreaction effects on the black-hole geometry are taken into account, the surface gravity is no longer $M$-independent, and the same applies to the Hawking temperature and outflux. This effect, which vanishes at the large-$M$ limit, increases with decreasing $M$. Here we analyze the semiclassical field equations for a two-dimensional static black hole, and calculate the leading-order backreaction effect ($\propto 1/M$) on the Hawking temperature and outflux. We then confirm our analytical result by numerically integrating the semiclassical field equations.

21 pages

References in corpus (4)

• Surprises in the Evaporation of 2-Dimensional Black Holes
• Evaporation of 2-Dimensional Black Holes
• Approximate solution to the CGHS field equations for two-dimensional evaporating black holes
• Finite-mass correction to 2D Black-hole evaporation rate

Cited by in corpus (2)

• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Black Hole Evaporation in Loop Quantum Gravity