T Dereli and R W Tucker 2004 Class. Quantum Grav. 21 1459 doi:10.1088/0264-9381/21/6/013
T Dereli1 and R W Tucker2
Show affiliationsBy embedding Einstein's original formulation of general relativity into a broader context, we show that a dynamic covariant description of gravitational stress–energy emerges naturally from a variational principle. A tensor TG is constructed from a contraction of the Bel tensor with a symmetric covariant second degree tensor field Φ and has a form analogous to the stress–energy tensor of the Maxwell field in an arbitrary spacetime. For plane-fronted gravitational waves helicity-2 polarized (graviton) states can be identified carrying non-zero energy and momentum.
04.40.-b Self-gravitating systems; continuous media and classical fields in curved spacetime
04.20.Fy Canonical formalism, Lagrangians, and variational principles
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 6 (21 March 2004)
Received 22 October 2003
Published 23 February 2004
T Dereli and R W Tucker 2004 Class. Quantum Grav. 21 1459
Sandro Wimberger et al 2003 Nonlinearity 16 1381
Tom Timusk and Bryan Statt 1999 Rep. Prog. Phys. 62 61
B M Wood and S Solve 2009 Metrologia 46 R13
V A Zaznoba et al 1979 Plasma Phys. 21 557
Muraari Vasudevan et al 2005 Class. Quantum Grav. 22 339
S E Alm and R Parviainen 2004 J. Phys. A: Math. Gen. 37 549
Marco M Caldarelli and Dietmar Klemm 2004 Class. Quantum Grav. 21 L17
M J Benacquista et al 2004 Class. Quantum Grav. 21 S509
M Cieplak et al 1991 J. Phys. A: Math. Gen. 24 L145