Embedded class solutions compatible for physical compact stars in general relativity

Autor: Ksh. Newton Singh, Neeraj Pant, Neeraj Tewari, Anil K. Aria
Rok vydání: 2018
Předmět:
Zdroj: The European Physical Journal A. 54
ISSN: 1434-601X
1434-6001
DOI: 10.1140/epja/i2018-12510-x
Popis: We have explored a family of new solutions satisfying Einstein’s field equations and Karmarkar condition. We have assumed an anisotropic stress-tensor with no net electric charge. Interestingly, the new solutions yield zero values of all the physical quantities for all even integer $n > 0$ . However, for all $n >0$ ( $n \neq $ even numbers) they yield physically possible solutions. We have tuned the solution for neutron star Vela X-1 so that the solutions matches the observed mass and radius. For the same star we have extensively discussed the behavior of the solutions. The solutions yield a stiffer equation of state for larger values of n since the adiabatic index increases and speed of sound approaches the speed of light. It is also found that the solution is physically possible for Vela X-1 if $1.8 \leq n < 7$ (with $n\neq 2,4,6$ ). All the solutions for $n \geq 7$ violates the causality condition and all the solutions with $0 < n < 1.8$ lead to complex values of transverse sound speed $ v_{t}$ . The range of well-behaved n depends on the mass and radius of compact stars.
Databáze: OpenAIRE
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