Study of motion around a static black hole in Einstein and Lovelock gravity

TL;DR

This paper investigates the motion of particles and light around static Einstein and Lovelock black holes in higher dimensions, analyzing orbital properties, light bending, and gravitational effects using various coordinate systems and potentials.

Contribution

It provides new insights into bound orbits, periastron shift, and light bending specifically for pure Lovelock black holes in higher-dimensional spacetimes.

Findings

Bound orbits exist only in even dimensions for pure Lovelock black holes.

Light bending is related to transverse spatial components of the Riemann tensor.

Periastron shift calculations are presented for these black hole solutions.

Abstract

We study motion around a static Einstein and pure Lovelock black hole in higher dimensions. It is known that in higher dimensions, bound orbits exist only for pure Lovelock black hole in all even dimensions, D=2N+2, where N is degree of Lovelock polynomial action. In particular, we compute periastron shift and light bending and the latter is given by one of transverse spatial components of Riemann curvature tensor. We also consider pseudo-Newtonian potentials and Kruskal coordinates.