Nonexistence of static conformally flat solutions in a new scalar--tensor theory

Journal Article · Mon Jun 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527490· OSTI ID:6626741

Singh, T

For the special case when the scalar field is massless and conformally invariant, it is shown that there do not exist spherically symmetric conformally flat solutions in a new scalar--tensor theory proposed by Schmidt et al. (Phys. Rev. D 24, 1484 (1981)) representing disordered radiation and in the presence of a source-free electromagnetic field except for the trivial empty flat space-time of Einstein's theory. The solution in the vacuum case is also only a flat space-time of Einstein's theory.

• Research Organization: Department of Mathematics, Shree Ramdeobaba Kamala Nehru Engineering College, Gittikhadan, Katol Road, Nagpur 440013, India
• OSTI ID: 6626741
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
CONFORMAL INVARIANCE
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
METRICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SCALAR FIELDS
SPACE-TIME
SYMMETRY