Electromagnetic extension of Buchdahl bound in $f(R,T)$ gravity

Not scheduled
15m
IIT Guwahati

IIT Guwahati

Poster Classical & Quantum Gravity Classical & Quantum Gravity

Speaker

Ranjan Sharma (Cooch Behar Panchanan Barma University)

Description

We develop a static charged stellar model in $f(R,T)$ gravity where the modification is assumed to be linear in $T$ which is the trace of the energy momentum tensor. The exterior spacetime of the charged object is described by the Reissner-Nordstr\"om metric. The interior solution is obtained by invoking the Buchdahl-Vaidya-Tikekar ansatz, for the metric potential $g_{rr}$, which has a clear geometric interpretation. A detailed physical analysis of the model clearly shows distinct physical features of the resulting stellar configuration under such a modification. We find the maximum compactness bound for such a class of compact stars which is a generalization of the Buchdahl bound for a charged sphere described in $f(R,T)$ gravity. Our result shows physical behaviour that is distinct from general relativity. In particular, our study shows that the compactness can be increased by considering a modification in Einstein's gravity which is further enhanced by the inclusion of charge.

Email rsharma@associates.iucaa.in
Affiliation Cooch Behar Panchanan Barma University

Authors

Mr Soumik Soumik Bhattacharya (Cooch Behar Panchanan Barma University) Prof. Sunil Maharaj (University of KwaZulu-Natal) Ranjan Sharma (Cooch Behar Panchanan Barma University)

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