Exact dynamic theories on a given background in gravitation

Journal Article · Fri Jan 01 00:00:00 EST 1988 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X88001107· OSTI ID:5243402

Popova, A D ^[1]; Petrov, A N ^[2]

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1. State Committee for Standards, Moscow 117049, Leninsky prospect 9 (SU)
2. Sternberg Astronomical Insititute, Moscow 119899, Universitetsky prospect 13 (SU)

In any field theory the variables can always be decomposed into a sum of background and dynamic parts. The authors analyse exact dynamic theories in which the dynamic field is not small;an arbitrary theory of gravity is meant. In the initial theory the choice of variables is inessential. Dynamic theories constructed for different choices of initial variables which are then decomposed, turn out to be in a certain sense inequivalent. They show that the dynamic stress-energy tensors differ in terms that do not vanish on the solutions both background and dynamic equations of motion. This property is exact, i.e., it is valid irrespective of any approximations. They consider gauge invariance of dynamic theories under gauge transformations induced by finite-displacements of the 4-space. They discuss peculiarities of dynamic theories in the Einstein theory with material fields as sources.

• OSTI ID: 5243402
• Journal Information: International Journal of Modern Physics A; (USA), Vol. 3:11; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GAUGE INVARIANCE
GRAVITATION
FIELD THEORIES
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
QUANTUM GRAVITY
SUM RULES
TENSOR DOMINANCE MODEL
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
TENSORS
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657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics