2011/07/11 by BASANTI DAS, PRATAP CHANDRA RAY, IRINA RADINSCHI +2 · 1 citation
Physics and Astronomy · Engineering · Mathematics · #Cosmology and Gravitation Theories #Fluid dynamics and aerodynamics studies #Navier-Stokes equation solutions
paper · doi:10.1142/s0218271811019724
In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specializations and under these we solve the Einstein–Maxwell field equations in isotropic coordinates. The analytical solutions thus obtained are matched to the exterior Reissner–Nordström solutions which concern the values for the metric coefficients e ν and e μ . We derive the pressure, density and pressure-to-density ratio at the center of the charged fluid sphere and boundary R of the star. Our conclusion is that static charged fluid spheres provide a good connection to compact stars.