Null geodesics and repulsive behavior of gravity in $(2+1)$D massive gravity

Autor: Shu Ueda, Keisuke Nakashi, Shinpei Kobayashi, Hiromi Saida
Rok vydání: 2019
Předmět:
Zdroj: Progress of Theoretical and Experimental Physics. 2019
ISSN: 2050-3911
DOI: 10.1093/ptep/ptz062
Popis: We study the null geodesics in a static circularly symmetric (SCS) black hole spacetime, which is a solution in the $(2+1)$D massive gravity proposed by Bergshoeff, Hohm, and Townsend (BHT massive gravity). We obtain analytic solutions for the null geodesic equation in the SCS black hole background and find the explicit form of deflection angles. We see that, for various values of the impact parameter, the deflection angle can be positive, negative, or even zero in this black hole spacetime. The negative deflection angle indicates the repulsive behavior of the gravity that comes from the gravitational hair parameter that is the most characteristic quantity of the BHT massive gravity.
Databáze: OpenAIRE