Slowly rotating dust sphere for free space in general relativity with uniform matter distribution

K.M.E.M. Karunawardana, M.P.A. Wijayasiri


Einstein field equations for a charged dusty universe have already investigated. In this paper we present a new class of analytical solutions in terms of canonical coordinates for Einstein’s field equations; assuming that the spacetime is spherically symmetric, formed by non-charged dust with uniform matter distribution. The metric we considered is of the form, ds2 = e2ndt2 −e2ldr2−r2dq2−r2 sin2 q(df − Wdt)2, where n,l and W are functions of the radial coordinate r only. Our model has only a space singularity at r =0 and the solutions are well behaved for r > 0. In addition, we assume that the proper density r is constant. W(r), the angular velocity of the inertial frame; can be an arbitrary function of r, which satisfies required boundary conditions to be a slow rotation.

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Bayin, Selcuk S. 1981. Slowly rotating fluid fluid spheres in general relativity with and without radiation. Phys. Rev.D. 24 2056 – 2065.

Bonnor, WB. 1992. Physical interpretation of vacum solutions of einstein’s equations. par i. timeindependent solutions. General relativity and Gravitation 24.

Chandrasekher, S. 1910. The mathematical theory of blackholes. Oxfered Univ. Press, NY.

Ltartle, James B. 2003. Gravity - An introduction to Einstein’s general relativity. Pearson Education Pte, Ltd. Indian Branch.

Milner, Brayan. 2000. Cosmology. Cambridge Univ. Press,Cambridge.

Tiwari, RN., JR. Rao, , RR. Kanakamedala. 1986. Slowly rotating charged fluid spheres in general relativity. Phys. Rev.D. 34 327 – 330.


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