A 4D spacetime embedded in a 5D pseudo-Euclidean space describing interior of compact stars
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- Name of Publisher: Springer Berlin Heidelberg
- Published: 08 February 2017
- Cited by: 35
- Field of Research: Theoretical Physics, Astrophysics, General Theory of Relativity
Abstract
The present paper provides a new model of compact stars satisfying the Karmarkar condition. The model is obtained by assuming a new type of metric potential for grr from the condition of embedding class I. The model parameters are obtained accordingly by employing the metric potentials to Einstein's field equations. Our model is free from geometric singularity and satisfies all the physical conditions. The obtained mass and radius of the compact stars Cen X-3, EXO 1785-248 and SAX 1808.4-3658 obtained from the model are consistent with the observational data of T. Gangopadhyay et al.. Detailed analyses of these neutron stars (Cen X-3, EXO 1785-248 and SAX 1808.4-3658) are also given with the help of graphical representations.
Author Information
Authors and Affiliations Department of Physics, National Defence Academy, Pune-411023, Khadakwasla, India Ksh. Newton Singh Department of Mathematics and Natural Sciences, BRAC University, 1212, Dhaka, Bangladesh Mohammad Hassan Murad Department of Mathematics, National Defence Academy, Pune-411023, Khadakwasla, India Neeraj Pant
Citation
Singh, K.N., Murad, M.H. & Pant, N. A 4D spacetime embedded in a 5D pseudo-Euclidean space describing interior of compact stars. Eur. Phys. J. A 53, 21 (2017). https://doi.org/10.1140/epja/i2017-12210-1