Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions

TL;DR

This paper explores how the Kalb-Ramond field influences the maximum mass of relativistic stars, showing it allows more mass in four dimensions but reduces it in higher dimensions, affecting stellar structure limits.

Contribution

It derives the modified Buchdahl's limit considering the Kalb-Ramond field in various dimensions, revealing its contrasting effects on stellar mass content.

Findings

Kalb-Ramond field increases maximum mass in four dimensions.

In higher dimensions, the field decreases the star's mass.

Implications for stellar structure and compact objects are discussed.

Abstract

We have derived the Buchdahl's limit for a relativistic star in presence of the Kalb-Ramond field in four as well as in higher dimensions. It turns out that the Buchdahl's limit gets severely affected by the inclusion of the Kalb-Ramond field. In particular, the Kalb-Ramond field in four spacetime dimensions enables one to pack extra mass in any compact stellar structure of a given radius. On the other hand, a completely opposite picture emerges if the Kalb-Ramond field exists in higher dimensions, where the mass content of a compact star is smaller compared to that in general relativity. Implications are discussed.