Electromagnetic effect on anisotropic scalar field collapse in higher curvature gravity

Abstract

We consider a `Scalar-Maxwell-Einstein-Gauss-Bonnet' theory in four dimension, where the scalar field couples non-minimally with the Gauss-Bonnet (GB) term. This coupling with the scalar field ensures the non topological character of the GB term. In such higher curvature scenario, we explore the effect of electromagnetic field on scalar field collapse. Our results reveal that the presence of a time dependent electromagnetic field requires an anisotropy in the background spacetime geometry and such anisotropic spacetime allows a collapsing solution for the scalar field. The singularity formed as a result of the collapse is found to be a curvature singularity which may be point like or line like depending on the strength of the anisotropy. We also show that the singularity is always hidden from exterior by an apparent horizon.

17 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1709.07271 and text overlap with arXiv:1312.6898 by other authors

References in corpus (8)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Nonadiabatic charged spherical gravitational collapse
• Collapsing spherical stars in f(R) gravity
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Self-similar scalar field collapse
• Scalar field collapse in Gauss-Bonnet gravity
• Scalar Field Collapse with an exponential potential

Cited by in corpus (2)

• Effects of $f(R,G)$ gravity on anisotropic charged compact objects
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries