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Short distance repulsive gravity as a consequence of non-trivial PPN parameters β and γ

1995/05/31 by S. Kalyana Rama, Sasanka Ghosh · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Function (biology) #Geometry #Gravitation #Gravitational collapse #Gravitational singularity #Graviton #Mathematical physics #Mathematics #Naked singularity #Physics #Point particle #Pulsars and Gravitational Waves Research #Quantum mechanics #RADIUS #Schwarzschild radius #Singularity #Theoretical physics #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1016/0370-2693(96)00818-0

published in Physics Letters B 384(1-4), 50-57 (Elsevier BV) · 15 pages. Latex file. Extenisve modifications, results unchanged, but more supportive arguments provided. To appear in Phys. Lett. B

arxiv created 1996/07/05 · openalex publication_date 1996/09/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

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 ϕ set to zero, it contains one arbitrary function ψ(ϕ). 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.

Citations