Dimensionally continued Oppenheimer-Snyder gravitational collapse II: solutions in odd dimensions

TL;DR

This paper investigates gravitational collapse in odd-dimensional Lovelock gravity, demonstrating that black holes can form as the end state of dust collapse, extending previous work on even dimensions.

Contribution

It provides solutions for gravitational collapse in odd dimensions within Lovelock gravity, highlighting the formation of black holes as a final state.

Findings

Black holes form as the end state of dust collapse in odd dimensions.

Lovelock gravity reduces to two main constants, simplifying analysis.

Collapse solutions extend previous even-dimensional results.

Abstract

The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is possible to reduce them to two, the cosmological constant and Newton's constant. In this process one separates theories in even dimensions from theories in odd dimensions. In a previous work gravitational collapse in even dimensions was analysed. In this work attention is given to odd dimensions. It is found that black holes also emerge as the final state of gravitational collapse of a regular dust fluid.