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

Journal Article · Mon Jun 01 00:00:00 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), Vol. 28:6
• Country of Publication: United States
• Language: English

Related Subjects

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