Extended Klein-Gordon action, gravity and nonrelativistic fluid

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2179050· OSTI ID:20768742

Hassaiene, Mokhtar ^[1]

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1. Instituto de Matematica y Fisica, Universidad de Talca, Casilla 747, Talca, Chile and Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)

We consider a scalar field action for which the Lagrangian density is a power of the massless Klein-Gordon Lagrangian. The coupling of gravity to this matter action is considered. In this case, we show the existence of nontrivial scalar field configurations with vanishing energy-momentum tensor on any static, spherically symmetric vacuum solutions of the Einstein equations. These configurations in spite of being coupled to gravity do not affect the curvature of space-time. The properties of this particular matter action are also analyzed. For a particular value of the exponent, the extended Klein-Gordon action is shown to exhibit a conformal invariance without requiring the introduction of a nonminimal coupling. We also establish a correspondence between this action and a nonrelativistic isentropic fluid in one fewer dimension. This fluid can be identified with the (generalized) Chaplygin gas for a particular value of the power. It is also shown that the nonrelativistic fluid admits, apart from the Galileo symmetry, an additional symmetry whose action is a rescaling of the time.

• OSTI ID: 20768742
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 3; Other Information: DOI: 10.1063/1.2179050; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFIGURATION
CONFORMAL INVARIANCE
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
FLUIDS
GRAVITATION
ISENTROPIC PROCESSES
KLEIN-GORDON EQUATION
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
MATTER
NONLINEAR PROBLEMS
QUANTUM GRAVITY
SCALAR FIELDS
SPACE-TIME
SYMMETRY