Study of a Scalar Field on the Maximally Extended Schwarzschild Spacetime

6th Young Researcher Meeting, L'Aquila 2015

Buss, C.^1 ; Casals, M.^1,2

Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150, Urca Rio de Janeiro, Brazil^1

School of Mathematics and Statistics and Complex, Adaptive Systems Laboratory, University College Dublin, Belfield, Dublin 4, Ireland^2

关键词: Black holes;    Event horizon;    Scalar fields;    Schwarzschild;    Series expansion;    Spacetime;    Two-point;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/689/1/012002/pdf
DOI  :  10.1088/1742-6596/689/1/012002

来源: IOP

【 摘 要 】

In this paper we present preliminary results about the investigation of scalar perturbations both inside and outside a Schwarzschild black hole. We express the wave equation in Ingoing Eddington-Finkelstein coordinates (explicitly showing its separability), write local series expansions for mode solutions and use them to then numerically calculate scalar perturbations inside and outside the future event horizon. Our main motivation is to calculate, in the future, the two-point quantum correlator in Schwarzschild spacetime, with points on opposite sides of the horizon.