Gravitational Field of A Radiating Star in Higher Dimensions

TL;DR

This paper derives a new solution for the gravitational field of a radiating star in higher-dimensional spacetime, revealing that the star's radius oscillates with a period influenced by vibrational modes and the number of dimensions.

Contribution

It introduces a novel higher-dimensional solution for a radiating star that generalizes Vaidya's 4D model and shows oscillatory behavior of the star's radius.

Findings

Star radius oscillates in higher dimensions

Oscillation period depends on vibrational modes and dimensions

Solution reduces to Vaidya's 4D case

Abstract

We obtain fields of a relativistic radiating star of non-static mass in the framework of higher dimensional spacetime. Assuming energy-momentum tensor in Higher dimensions analogous to that considered by Vaidya in 4 dimensions we obtain solution of a radiating spherically symmetric star. The solution obtained here is new in higher dimensions which however reduces to that obtained by Vaidya in 4 dimensions. It is also different in form from that obtained by Iyer and Vishveshwara. The interesting observation is that the radius of a radiating star in higher dimensions oscillates. The radial size of radiating star oscillates with a period which depends on the modes of vibration and dimensions of the space-time.