On the existence of singularity-free solutions in quadratic gravity

1994/01/20 by J. Rizos, K. Tamvakis · 6 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical economics #Mathematical physics #Mathematics #Physics #Quadratic equation #Singularity #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1016/0370-2693(94)91192-4

published as Phys.Lett. B326 (1994) 57-61 · 9 pages, LATEX, uses epsf.tex macro, (1 figure included in uuencode+compress EPSF form), IOA-296

arxiv created 1994/01/20 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a general field theory of a scalar field coupled to gravitation through a quadratic Gauss-Bonnet term ξ(ϕ)R_GB². We show that, under mild assumptions about the function ξ(ϕ), the classical solutions in a spatially flat FRW background include singularity - free solutions.

Citations

• Moduli corrections to gravitational couplings from string loops
• Gravitational Collapse and Space-Time Singularities

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