Energy--momentum tensor symmetries and concomitant conservation laws. I. Einstein-massless-scalar (meson) field

Journal Article · Fri Sep 01 04:00:00 EDT 1978 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523911· OSTI ID:6732784

Katzin, G H; Levine, J

Symmetries of energy--momentum tensors T in a Riemannian space--time are defined by infinitesimal mappings x-bar/sup i/ =x/sup i/+xi/sup i/(x) deltaa where the mapping vector xi/sup i/ is determined by the symmetry condition L/sub xi/(g/sup w//2T) =0, (g/sup w//2T) is a relative tensor of weight w, gequivalent absolute value of the metrical determinant, and L/sub xi/ is the Lie derivative with respect to the vector xi/sup i/). The existence of such symmetry vectors xi/sup i/ leads to concomitant conservation laws in the form of conserved vector currents J/sup i/ for both special and general relativity. The currents J/sup i/ will be explicit functions of the energy momentum tensor T and the symmetry vector xi/sup i/. The symmetries and conservation laws so obtained will in general differ from the familiar Trautman formulation. The theory is applied to obtain symmetries and conserved currents for a class of conformally flat solutions of the Einstein-massless-scalar (meson) field equations.

• Research Organization: Department of Physics and Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27650
• OSTI ID: 6732784
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRAIC CURRENTS
CONSERVATION LAWS
CURRENTS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL SPACE
RIEMANN SPACE
SCALAR FIELDS
SPACE
SYMMETRY
TENSORS
VECTOR CURRENTS