Abstract
We construct relativistic models of charged anisotropic compact objects in hydrostatic equilibrium in the framework of the General Theory of Relativity. The spacetime metric interior of the star is described by a generalized form of the Tolman-Kuchowicz metric (GTK). The MIT Bag model equation of state (EoS) is considered for the charged star to study the physical features of the star, namely, energy-density (\(\rho \)), radial pressure (\(p_{r}\)), transverse pressure (\(p_{\perp }\)), etc. numerically. The behaviour of anisotropy is also studied for different forms of the GTK metric, using the Delgaty and Lake prescriptions. We determined the maximum mass of a star for a given set of model parameters.
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Acknowledgements
The authors would like to thank IUCAA Centre for Astronomy Research and Development (ICARD), NBU for extending research facilities. The authors are thankful to the Hon’ble Referee for the illuminating suggestions that have significantly improved in presenting the manuscript in current form.
Funding
BD is thankful to CSIR, New Delhi for financial support. SD gratefully acknowledges support from IUCAA, Pune, India where part of this work was done under its Visiting Research Associateship Programme. BCP would like to thank SERB-DST for awarding the project no. F CRG-2021-000183.
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B.D worked out field equations, carried out numerical calculation and graphical plots and a part of the text. S.D. carried out some graphical analysis and double checked independently and proposed some modifications and apart of the text. BCP proposed the new metric and overall supervision of the research presented here and Supervision, text editing, analysis, predictions,and discussions.
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Das, B., Das, S. & Paul, B.C. Models of compact objects with charge in generalized Tolman-Kuchowicz metric. Astrophys Space Sci 368, 98 (2023). https://doi.org/10.1007/s10509-023-04255-6
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DOI: https://doi.org/10.1007/s10509-023-04255-6