Gravitational many-body PPN Lagrangian, Lorentz invariance, and the strong equivalence principle to second order

Thesis/Dissertation · Fri Jan 01 00:00:00 EST 1988

OSTI ID:7017936

Benacquista, M J

The gravitational many-body parameterized post-Newtonian (PNN) Lagrangian for compact celestial bodies is extended to second post-Newtonian order and is constrained to exhibit the invariances observed in nature-generalized Lorentz invariance, the strong equivalence principle, and the isotropy of the gravitational potential. These invariances are imposed on the Lagrangian using an empirical approach which is based on calculated observables rather than through formal procedures involving post-Newtonian approximations of transformations. When restricted in this way, the Lagrangian possesses two free parameters which can be related to light-deflection experiments and the effect of an environment of proximate matter on such experiments.

• Research Organization: Montana State Univ., Bozeman, MT (USA)
• OSTI ID: 7017936
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATIONAL FIELDS
MATHEMATICAL MODELS
CALCULATION METHODS
LAGRANGE EQUATIONS
LORENTZ INVARIANCE
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
640100* - Astrophysics & Cosmology
640106 - Astrophysics & Cosmology- Cosmology