Short Distance Repulsive Gravity as a Consequence of Non Trivial PPN Parameters $β$ and $γ$

Details Short Distance Repulsive Gravity as a Consequence of Non Trivial PPN Parameters $β$ and $γ$ Short Distance Repulsive Gravity as a Consequence of Non Trivial PPN Parameters $β$ and $γ$

1995-05-27

arxiv.org/abs/hep-th/9505167v2

Phys.Lett. B383 (1996) 31-38; Phys.Lett. B384 (1996) 50-57

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Latex file. Extenisve modifications, results unchanged, but more supportive arguments provided. To appear in Phys. L

Scientific paper

10.1016/0370-2693(96)00818-0

We look for a graviton-dilaton theory which can predict non trivial values of the PPN parameters $\beta$ and/or $\gamma$ for a charge neutral point star, without any naked singularity. With the potential for dilaton $\phi$ set to zero, it contains one arbitrary function $\psi(\phi)$. Our requirements impose certain constraints on $\psi$, 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 $r_0$. There is also no horizon for $r > r_0$. These results suggest that black holes are unlikely to form in a stellar collapse in this theory.

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