Gravitational fields of cosmic membranes

Abstract

The gravitational field resulting from static scalar field configurations is investigated by means of coupled Einstein-scalar equations. Imposing plane symmetry, the author obtains a family of exact soliton-like stable solutions representing thick cosmic membranes in a spacetime which is flat at spatial infinity. The physical properties of the cosmic membrane (such as thickness, surface energy density, and interior gravitational field) are derived without detailed knowledge of the scalar field, and it is shown that test particles are repelled by the gravitational field of the membrane. Finally, they discuss an interesting possibility of generating a spacetime foliation due to superposition of soliton-like configurations of the scalar field.

A Xially Symmetric Cosmic Strings and Domain Walls in Lyra Geometry

“…Subba Rao Department of Mathematics, Anil Neerukonda Institute of Technology and Science, Sangivalasa, Visakhapatnam India e-mail: reddy einstein@yahoo.com with a self-interacting scalar field. The space time of cosmological thick domain walls in general relativity has been studied by Ipser and Sikivie (1984), Garfinkle and Gregory (1990), Mukherjee (1993) and Bonjour et al (1999). Lyra (1951) proposed a modification of Riemannian geometry by introducing gauge function into the structure less manifold, as a result of which the cosmological constant arises naturally from the geometry.…”

Plane symmetric bulk viscous domain wall in Lyra geometry

“…After the original work by Vilenkin, Ipser and Sikivie [7,8] for thin walls, attempts focused on trying to find a perturbative expansion in the wall thickness [6,10]. With the proposition by Hill, Schramn and Fry [11] of a late phase transition with thick domain walls, there was some effort in finding exact thick solution [12,13]. Recently, Bonjour et al [14] considered gravitating thick domain wall solutions with planar and reflection symmetry in the Goldstone model.…”

Exact Solution of a Test Particle in Presence of Thick Domain Walls

“…Many authors [5,6] have discussed non-static solutions of the Einstein scalar field equations for thick domain wall. In these solutions the energy scalar is independent of time while the metric tensor depends on both space and time.…”