TY - JOUR

T1 - The fluid-ray tetrad formulation of Einstein's field equations

AU - Stoeger, W. R.

AU - Nel, S. D.

AU - Maartens, R.

AU - Ellis, G. F.R.

PY - 1992/12/1

Y1 - 1992/12/1

N2 - The authors describe the fluid-ray (FR) tetrad, which is based on the four-velocity u of the cosmological fluid and the null vector k which lies along the generators of the null geodesics in the past light cones C -(p0) centred on the worldline C. Then, they formulate the field equations in terms of this tetrad, giving also the Jacobi identities, the metric variable equations for observational coordinates, and the contracted Bianchi identities. The equivalent set of equations, involving the Ricci identities, the full Bianchi identities, along with the contracted Bianchi identities, is also given. This formulation facilitates the integration of the field equations in certain cosmological contexts.

AB - The authors describe the fluid-ray (FR) tetrad, which is based on the four-velocity u of the cosmological fluid and the null vector k which lies along the generators of the null geodesics in the past light cones C -(p0) centred on the worldline C. Then, they formulate the field equations in terms of this tetrad, giving also the Jacobi identities, the metric variable equations for observational coordinates, and the contracted Bianchi identities. The equivalent set of equations, involving the Ricci identities, the full Bianchi identities, along with the contracted Bianchi identities, is also given. This formulation facilitates the integration of the field equations in certain cosmological contexts.

UR - http://www.scopus.com/inward/record.url?scp=0007427795&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/9/2/013

DO - 10.1088/0264-9381/9/2/013

M3 - Article

AN - SCOPUS:0007427795

VL - 9

SP - 493

EP - 507

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 2

M1 - 013

ER -