A Charged Analogue of the Vaidya?Tikekar Solution

Abstract

We present here an interior solution of the Einstein-Maxwell equations for a charged static fluid sphere. The physical 3-space t = constant of the solution is spheroidal. The solution is interpreted as an exact relativistic model for a charged superdense star.

Charged anisotropic matter with quadratic equation of state

“…For this purpose, a number of models have been discussed [2][3][4][5][6][7][8][9][10][11][12] by considering the relativistic anisotropic fluid. The study with charged matter is presented in [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. A detailed discussion of a compact relativistic body in the presence of electromagnetic field is given by Thirukkanesh and Maharaj [1].…”

On Charged Analogues of Buchdahl’S Type Fluid Spheres

“…The later was proposed by Buchdahl to ensure the density gradient negative for the uncharged case. However the expression considered for electric intensity has already been considered by the other workers (Patel and Koppar, 1987;Sharma et al, 2001;Patel et al, 1997) and is such that the Einstein-Maxwell field equation reduces to hypergeometric equation after some appropriate substitutions. Also the electric intensity so assumed has negative gradient with zero value at the center.…”

“…Many workers have studied the number of charged fluids in different contexts in the past and recently too (Treves and Turolla, 1999;Bonnor, 1960Bonnor, , 1980Bonnor, , 1998Bonner and Wickramasuria, 1975, Felice et al, 1995Ray et al, 2003Ray et al, , 2004Anninos and Rothman, 2001). Some others (Patel et al, 1997;Tikekar and Singh, 1998;Patel and Pandya, 1986) have considered the charged analogues of VaidyaTikekar types of fluid spheres, then utilized to depict the uncharged superdense star models with ultrahigh surface density (Vaidya and Tikekar, 1982).…”

“…Some others (Patel et al, 1997;Tikekar and Singh, 1998;Patel and Pandya, 1986) have considered the charged analogues of VaidyaTikekar types of fluid spheres, then utilized to depict the uncharged superdense star models with ultrahigh surface density (Vaidya and Tikekar, 1982). In the recent past (Sharma et al, 2001) have presented very general class of charged analogues of Vaidya-Tikekar type fluid spheres, which contains all such solutions obtained by others as special cases.…”

Scaling Property in Cold Compact Stars

“…[3][4][5][6][7][8] The model has been specifically designed to be useful in cases where the equation of state is not known. In contrast to the procedure based on the Oppenheimer-Volkoff equations, outlined above, one prescribes here a given geometry and then looks for suitable matter that can support this geometry.…”