Browsing by Author "Pandey, U.S."

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    On the evolution of magnetic moment of pulsars
    (2015-01-27) Pandey, U.S.; Prasad, S.S.
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    Plane symmetric perfect fluid distributions admitting a one-parameter- group of conformal motion
    (2015-01-27) Prasad, S.S.; Pandey, U.S.
    Some exact analytic solutions of Einstein's equations with perfect fluid source have been found, under the assumptions of (i) plane symmetry and (ii) the existence of a one- parameter group of conformal motions, with the generator in the hypersurface. The solutions are algebraically special (Petrov type D) and belong to class I of Wainwright classifications. They are non- static with non- vanishing shear. First of the solutions represent an expanding homogeneous distribution of matter, which evolves from a singular state at t=O. Second one is conformally fiat and represents homogeneous density, but inhomogeneous pressure distributions with shear - free motions. The last solution is inhomogeneous in density as well as pressure
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    A spherically symmetric higher dimensional perfect fluid space-time admitting a one parameter group of conformal motions
    (2015-02-07) Prasad, S.S.; Pandey, U.S.
    We have obtained non static exact solutions of Einstein's field equations for a higher dimensional perfect fluid sphere admitting a one - parameter group of conformal motions. Two special solutions have been obtained by selecting particular values of the constants occuring in general solutions. First solution is homogeneous representing stiff matter and it is a generalisation of solution 1 of Herrera and Leon [1] for 4 dimensional space- time. The other solution is inhomogeneous in density as well as pressure. Both the solutions are shearing and fulfil the dominant energy condition.