General Non-Static Spherically Symmetric Solutions of Einstein Vaccum Field Equations with Lambda
Apeiron(1999)
Abstract
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.
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Key words
upper bound
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