Motion of particles on a four-dimensional asymptotically AdS black hole with scalar hair

The European Physical Journal C

Yerko Vásquez¹  Marco Olivares²  P. A. González² 

[1] Departamento de Física, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas, 1200, La Serena, Chile;Facultad de Ingeniería, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile;

关键词: Black Hole;    Scalar Field;    Cosmological Constant;    Planetary Orbit;    Hairy Black Hole;   

DOI  :  10.1140/epjc/s10052-015-3690-4

来源: Springer

【 摘 要 】

Motivated by black hole solutions with matter fields outside their horizon, we study the effect of these matter fields on the motion of massless and massive particles. We consider as background a four-dimensional asymptotically AdS black hole with scalar hair. The geodesics are studied numerically and we discuss the differences in the motion of particles between the four-dimensional asymptotically AdS black holes with scalar hair and their no-hair limit, that is, Schwarzschild AdS black holes. Mainly, we found that there are bounded orbits like planetary orbits in this background. However, the periods associated to circular orbits are modified by the presence of the scalar hair. Besides, we found that some classical tests such as perihelion precession, deflection of light, and gravitational time delay have the standard value of general relativity plus a correction term coming from the cosmological constant and the scalar hair. Finally, we found a specific value of the parameter associated to the scalar hair, in order to explain the discrepancy between the theory and the observations, for the perihelion precession of Mercury and light deflection.

【 授权许可】

CC BY