Relativistic anisotropic stellar models with Tolman VII spacetime

Abstract

This article was published in the Astrophysics and Space Science [© 2015, Springer Science+Business Media Dordrecht] and the definite version is available at : http://dx.doi.org/10.1007/s10509-015-2462-9. The Journal's website is at: http://link.springer.com/article/10.1007%2Fs10509-015-2462-9In this paper we have studied the behavior of static spherically symmetric relativistic objects with locally anisotropic matter distribution considering the Tolman VII form for the gravitational potential grr in curvature coordinates together with the linear relation between the energy density and the radial pressure. The interior spacetime has been matched continuously to the exterior Schwarzschild geometry. We have investigated and analyzed different physical properties of the stellar model and presented graphically.Publishe

Analytical study of anisotropic compact star models

“…This is the only time we use a graphic proof. In [98] b = 1.074, which is in the above region. One obtains also u s = 0.299b = 0.321, a value well below 0.8 and the bounds in [60].…”

“…[45,56,[67][68][69][70]82,95,99,100,102,105,106]. Models with such LEOS are discussed in [65,[93][94][95][96][97][98][99]. Obviously p r 0 = β (ρ 0 − ρ s ) > 0, p rs = 0.…”

“…A solution with the same functions ρ and p r was given in [98]. It has ρ 0 = 3.98 × 10 15 g/cm 3 , ρ s = 3.29 × 10 15 g/cm 3 and β = 1/3.…”

“…There are models with in addition given m, [93,94] or λ [95][96][97][98][99]. There are also models with quadratic EOS and λ [100][101][102].…”

A New Charged Anisotropic Compact Star Model in General Relativity

“…Charged anisotropic models of stellar objects have been discussed by many Astrophysicists i.e. Thirukkanesh and Ragel [37], Maurya and Gupta [38], Pandya et al [39], Bhar et al [40] and Murad [41]. Compact stellar models for neutral/charged static spherically symmetric configuration with anisotropic pressure have been obtained in numerous works.…”