Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-06-15
Apeiron9N3:1-19,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, Revtex, no figure,extended version,some errors are corrected
Scientific paper
1- It is shown that the upper bound for $\alpha$ in the general solutions of spherically symmetric vacuum field equations(gr-qc/9812081,$\Lambda$=0) is nearly 10^3.This has been obtained by comparing the theoretical prediction for bending of light and precession of perihelia with observation. For a significant range of possible values of$\alpha$ ($\alpha$ >2) the metric is free of coordinate singularity. 2- It is checked that the singularity in the non-static spherically symmetric solution of Einstein field equations with $\Lambda$ (JHEP04(1999)011,$\alpha$ = 0)at the origin is intrinsic. 3- Using the techniques of these two works, ageneral class of non-static solutions is presented. They are smooth and finite everywhere and have an extension larger than Schwarzschild metric. 4- The geodesic equations of a freely material particle for the general case are solved which reveals a Schwarzschild -deSitter type potential field.
Abbassi Amir H.
Gharanfoli Soheila
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