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doi:10.1016/0370-2693(96)00818-0 
Copyright © 1996 Published by Elsevier Science B.V.
Short distance repulsive gravity as a consequence of non-trivial PPN parameters β and γ
S. Kalyana Rama
and Sasanka Ghosh
Received 28 October 1995;
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Abstract
We look for a graviton-dilaton theory which can predict non-trivial values of the PPN parameters β and/or γ for a charge neutral point star, without any naked singularity. With the potential for dilaton ø set to zero, it contains one arbitrary function ψ(ø). Our requirements impose certain constraints on ψ, which lead to the following generic and model independent novel results: For a charge neutral point star, the gravitational force becomes repulsive at distances of the order of, but greater than, the Schwarzschild radius r0. There is also no horizon for r > r0. These results suggest that black holes are unlikely to form in a stellar collapse in this theory.
