On the effect of gravitational repulsion on geodesic deviation in the Schwarzschild-de Sitter spacetime

Rohit Ghosh; Biplab Raychaudhuri; Aditya S. Mondal; Mahasweta Bhattacharya

On the effect of gravitational repulsion on geodesic deviation in the Schwarzschild-de Sitter spacetime

General Relativity and Quantum Cosmology 2026-07-25 v1

Authors: Rohit Ghosh , Biplab Raychaudhuri , Aditya S. Mondal , Mahasweta Bhattacharya

Abstract

Here we discuss the effect of gravitational repulsion on geodesic deviation in the Schwarzschild-de Sitter spacetime. In particular, the geodesic deviation shows different behaviour inside or outside a critical surface, which is the divider between attractive and repulsive regions of gravity. This in turn makes it possible to locate the critical surface and regions of gravitational repulsion and attraction from the behaviour of geodesic deviation.

Keywords

gravitational repulsion geodesic deviation Schwarzschild-de Sitter spacetime critical surface attractive region repulsive region

Cite

@article{arxiv.2607.23387,
  title  = {On the effect of gravitational repulsion on geodesic deviation in the Schwarzschild-de Sitter spacetime},
  author = {Rohit Ghosh and Biplab Raychaudhuri and Aditya S. Mondal and Mahasweta Bhattacharya},
  journal= {arXiv preprint arXiv:2607.23387},
  year   = {2026}
}