Sudan Hansraj

CHARGED ANALOGUE OF FINCH–SKEA STARS

We present solutions to the Einstein–Maxwell system of equations in spherically symmetric gravitational fields for static interior space–times with a specified form of the electric field intensity. The condition of pressure isotropy yields three category of solutions. The first category is expressible in terms of elementary functions and does not have an uncharged limit. The second category is given in terms of Bessel functions of half-integer order. These charged solutions satisfy a barotropic equation of state and contain Finch–Skea uncharged stars. The third category is obtained in terms of modified Bessel functions of half-integer order and does not have an uncharged limit. The physical features of the charged analogue of the Finch–Skea stars are studied in detail. In particular, the condition of causality is satisfied and the speed of sound does not exceed the speed of light. The physical analysis indicates that this analogue is a realistic model for static charged relativistic perfect fluid spheres.

Universality of isothermal fluid spheres in Lovelock gravity

We show universality of isothermal fluid spheres in pure Lovelock gravity where the equation of motion has only one

Lie symmetries for equations in conformal geometries

N

Exact barotropic distributions in Einstein-Gauss-Bonnet gravity

th order term coming from the corresponding Lovelock polynomial action of degree

Deflection of light by black holes and massless wormholes in massive gravity

N

Compact objects in pure Lovelock theory

. Isothermality is characterized by the equation of state,

New models for perfect fluids in EGB gravity

p = \alpha \rho

Anisotropic stellar models admitting conformal motion

and the property,

Group analysis of a conformal perfect fluid spacetime

\rho \sim 1/r^{2N}

Static trace free Einstein equations and stellar distributions

. Then the solution describing isothermal spheres, which exist only for the pure Lovelock equation, is of the same form for the general Lovelock degree