Interiors of SdS and RNdS Spacetime with Pressure and Cosmological Constant
We extend in this article the charged fluid with pressure derived by Bijalwan (2011a, 2011b) in presence of a cosmological constant.
physics.gen-ph↗
arXiv subjects
Naveen Bijalwan
Publications and source records attributed to Naveen Bijalwan.
Exact Solutions: Anisotropic Stars in Terms of Pressure
Dev (2002) discussed some exact solutions of anisotropic stars for special forms of TOV for constant energy density. Considering Bijalwan (2011) ansatz for charged perfect fluids we present here some exact solutions to the generalized TOV equation for anisotropic fluids by representing equation in terms for radial pressure. Consequently, radial pressure is found to be an invertible arbitrary function of w(=c1+c2r^2), where c1 and c2 is nonzero are arbitrary constants, and r is the radius of star, i.e. p=p(w) . We present a general solution for anisotropic fluid in terms for w. We list and discuss some old and new solutions which fall in this category. Consequently, we present solutions for generalized TOV considering different forms of anisotropy factor in terms of w. Also, we investigated solutions of generalized TOV with negative density gradient (NDG).
physics.gen-ph↗
Anisotropic Spheres with Barotropic Equation of State in Bimetric Theory of Relativity
Recently, Khadekar (2007) presented the solutions with uniform energy density for anisotropic spheres in bimetric theory. We present here a general analytic solution to the field equations in bimetric theory for anisotropic fluids for a general barotropic equation of state by representing equations in terms for effective radial pressure . We list and discuss some old and new solutions which fall in this category.
physics.gen-ph↗
(N+2)-Dimensional Anisotropic Charged Fluid Spheres with Pressure: Riccati Equation
General exact (N+2)-dimensional,n>=2 solutions in general theory of relativity of Einstein-Maxwell field equations for static anisotropic spherically symmetric distribution of charged fluid are expressed in terms of radial pressure. Subsequently, metrics (e(lambda) and e(nu)), matter density and electric intensity are expressible in terms of pressure. We extend the methodology used by Bijalwan (2011a, 2011c, 2011d) for charged and anisotropic fluid. Consequently, radial pressure is found to be an invertible arbitrary function of w(c1+c2r^2), where c1 and c2(non zero) are arbitrary constants, and r is the radius of star, i.e. p=p(w) . We present a general solution for static anisotropic charged pressure fluid in terms for w. We reduce to the problem of finding solutions to anisotropic charged fluid to that of finding solutions to a Riccati equation. Also, these solutions satisfy barotropic equation of state relating the radial pressure to the energy density.
physics.gen-ph↗