We present a brief review on the Raychaudhuri equations. Beginning with a summary of the
essential features of the original article by Raychaudhuri and subsequent work of numerous …

The nonminimal coupling of the nonzero vacuum expectation value of the self-interacting
antisymmetric Kalb-Ramond field with gravity leads to a power-law hairy black hole having a …

In this paper, we have studied the particle dynamics, gravitational lensing and energy
processes around the black hole (BH) in Kalb–Ramond (KR) gravity. The motion of particles …

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled
Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present …

The nonminimal coupling of the nonzero vacuum expectation value of the self-interacting
antisymmetric Kalb–Ramond field with gravity leads to a power-law hairy BH having a …

Observations of gravitational lenses in strong gravitational fields give us a clue to
understanding dark compact objects. In this paper, we extend a method to obtain a …

Gravitational lensing is a good probe into the topological structure of dark gravitating
celestial objects. In this paper, we investigate the light curve of a light ray that passes …

Strong field gravitational lensing in the context of both higher spacetime dimensions and in
presence of Kalb-Ramond field have been studied. After developing proper analytical tools …

The vacuum expectation value of the non-minimally coupled Kalb–Ramond (KR) field leads
to spontaneous local Lorentz symmetry violation, and static spherically symmetric solutions …

We derive the exact solutions for electrically charged black holes both in the absence and
presence of a cosmological constant in the gravitational theory with Lorentz violation …