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- Title
Induced Gravity Theory from Noether Symmetry.
- Authors
Kamilya, S.; Modak, B.; Biswas, S.
- Abstract
We discuss the functional form of the potential and the non-minimal coupling in the scalar tensor gravity (induced gravity) theories as allowed by the Noether symmetry in the spatially homogenous and isotropic spacetime background. The solution of the field equations (for k = 0) are presented by using the results obtained from the Noether symmetry. It has been observed that the potential and the coupling function obtained from the Noether symmetric approach do not satisfy the continuity equation for k = ±1. Finally we present an inflationary solution that goes over to the Einstein's gravity asymptotically as t → ∞.
- Subjects
SYMMETRY (Physics); MECHANICS (Physics); GRAVITY; EINSTEIN field equations; GENERAL relativity (Physics); GRAVITATION
- Publication
General Relativity & Gravitation, 2004, Vol 36, Issue 4, p661
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/b:gerg.0000016917.16859.04