Regular Article – Theoretical Physics
An electromagnetic extension of the Schwarzschild interior solution and the corresponding Buchdahl limit
Department of Physics, Cooch Behar Panchanan Barma University, 736101, Cooch Behar, India
2 The Inter-University Centre for Astronomy and Astrophysics (IUCAA), Post Bag 4, 411007, Pune, India
3 Department of Physics, P. D. Women’s College, 735101, Jalpaiguri, India
4 Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
Accepted: 18 January 2021
Published online: 25 January 2021
We wish to construct a model for charged star as a generalization of the uniform density Schwarzschild interior solution. We employ the Vaidya and Tikekar ansatz (Astrophys Astron 3:325, 1982) for one of the metric potentials and electric field is chosen in such a way that when it is switched off the metric reduces to the Schwarzschild. This relates charge distribution to the Vaidya–Tikekar parameter, k, indicating deviation from sphericity of three dimensional space when embedded into four dimensional Euclidean space. The model is examined against all the physical conditions required for a relativistic charged fluid sphere as an interior to a charged star. We also obtain and discuss charged analogue of the Buchdahl compactness bound.
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