Archive
Archive for November, 2010
Four-index equations for gravitation and the gravitational energy-momentum tensor [1]
Zahid Zakir [2]
Abstract
A new treatment of the gravitational energy on the basis of 4-index gravitational equations is reviewed. The gravitational energy for the Schwarzschild field is considered.
PACS: 04.20.Cv, 04.20.Fy, 11.10.-z
Key words: gravitational energy, curvature tensor, vacuum energy
Vol. 5, No 2, p. 22 – 25, v1, 9 November 2010
Four-index energy-momentum tensors for gravitation and matter [1]
Zahid Zakir [2]
Abstract
The 4-index energy-momentum tensors for gravitation and matter are analyzed on the basis of new equations for the gravitational field with the Riemann tensor. Some properties of such defined gravitational energy are discussed.
PACS: 04.20.Cv, 04.20.Fy, 11.10.-z
Key words: gravitational energy, curvature tensor, vacuum energy
Vol. 5, No 2, p. 18 – 21, v1, 9 November 2010
Online: TPAC: 3600-018 v2, 28 September 2012; DOI: 10.9751/TPAC.3600-018
New equations for gravitation with the Riemann tensor and 4-index energy-momentum tensors for gravitation and matter [1]
Zahid Zakir [2]
Abstract
A generalized version of the Einstein equations in the 4-index form, containing the Riemann curvature tensor linearly, is derived. It is shown, that the gravitational energy-momentum density outside a source is represented across the Weyl tensor vanishing at the 2-index contraction. The 4-index energy-momentum density tensor for matter also is constructed.
PACS: 04.20.Cv, 04.20.Fy, 11.10.-z
Key words: gravitational energy, curvature tensor, vacuum energy
Vol. 5, No 2, p. 14 – 17, v1, 9 November 2010
Online: TPAC: 3600-017 v2, 28 September 2012; DOI: 10.9751/TPAC.3600-017
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