English

Tunnelling phenomenon near an apparent horizon in two-dimensional dilaton gravity

High Energy Physics - Theory 2017-10-11 v1

Abstract

Based on the definition of the apparent horizon in a general two-dimensional dilaton gravity theory, we analyze the tunnelling phenomenon of the apparent horizon by using Hamilton-Jacobi method. In this theory the definition of the horizon is very different from those in higher-dimensional gravity theories. The spectrum of the radiation is obtained and the temperature of the radiation is read out from this spectrum and it satisfies the usual relationship with the surface gravity. Besides, the calculation with Parikh's null geodesic method for a simple example conforms to our result in general stationary cases.

Keywords

Cite

@article{arxiv.1609.08479,
  title  = {Tunnelling phenomenon near an apparent horizon in two-dimensional dilaton gravity},
  author = {Li-Ming Cao and Xiao-Zhu Jiang and Yuxuan Peng},
  journal= {arXiv preprint arXiv:1609.08479},
  year   = {2017}
}

Comments

revtex4, 8 pages, no figure