Scalar solitons in a 4-Dimensional curved space-time

Details Scalar solitons in a 4-Dimensional curved space-time Scalar solitons in a 4-Dimensional curved space-time

2001-02-13

arxiv.org/abs/gr-qc/0102061v1

Rev.Mex.Fis. 47 (2001) 231-233

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in Revista Mexicana de Fisica, 6 pages, 2 figures

Scientific paper

There is a theorem known as a Virial theorem that restricts the possible existence of non-trivial static solitary waves with scalar fields in a flat space-time with 3 or more spatial dimensions. This raises the following question: Does the analogous curved space-time version hold?. We investigate the possibility of solitons in a 4-D curved space-time with a simple model using numerical analysis. We found that there exists a static solution of the proposed non linear wave equation. This proves that in curved space-time the possibilities of solitonic solutions is enhanced relative to the flat space-time case.

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