FIZIKA A 15 (2006) 3 , 133-146
CURVATURE SYSTEMATICS IN GENERAL RELATIVITY
JOSEPH JOHN BEVELACQUA
Bevelacqua Resources, Suite 100, 343 Adair Drive, Richland, WA 99352 U.S.A.
E-mail address: firstname.lastname@example.org
Received 20 October 2004; Revised manuscript received 1 November 2006
Accepted 13 December 2006 Online 23 February 2007
A clear physical description of a variety of spacetime geometries is provided in
terms of the various connection coefficients and curvature-related tensors. The
affine connection coefficients, the Riemann curvature tensor, Ricci tensor,
scalar curvature and Einstein tensor, and associated discussion is provided for
flat spacetime, the Schwarzschild geometry, the Morris-Thorne wormhole geometry,
the Friedmann-Robertson-Walker geometry, and a static spherical geometry.
PACS numbers: 01.30.Rr, 01.40.-d, 02.40.Hw, 04.20.-q
Keywords: spacetime geometries, Riemann tensor, Ricci tensor, Einstein tensor,
Schwarzschild geometry, Morris-Thorne wormhole geometry, Friedmann-Robertson-Walker