Metric theories of gravity

Петров, А. Н.; Kopeikin, Sergei M.; Lompay, Robert R.; Tekin, Bayram

doi:10.1515/9783110351781

Cited by 30 publications

(44 citation statements)

References 0 publications

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“…For particular cases of (1) with N 1 , N 2 , N 3 ≤ 2 instead of Ψ α βρ one can [2] use the following superpotential:…”

Section: General Form Of the Superpotentialmentioning

confidence: 99%

“…where δy a and δϕ A are defined in (2) and (3). Integration by parts can remove all the derivatives from ξ µ because we assumed it has compact support.…”

Section: Properties Of Gravitational and Matter Contributions Into Sumentioning

confidence: 99%

“…As one shall see below, it can be used to simplify them further. Now we can use (2) and 3in (37) and then use (40) and 7in the result to obtain the following:…”

Section: Properties Of Gravitational and Matter Contributions Into Sumentioning

confidence: 99%

“…As a result, the total energy-momentum density is not well-defined. This observation was done back at the dawn of the GR (for historical review, see [1,2]). Despite the existence of the "covariantization" methods for such densities (see, for example, [3][4][5]), there is no widely accepted solution for this "non-localizability" problem.…”

Section: Introductionmentioning

confidence: 99%

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Energy–Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form

Ilin

Paston

2020

Universe

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The current paper is devoted to the investigation of the general form of the energy–momentum pseudotensor (pEMT) and the corresponding superpotential for the wide class of theories. The only requirement for such a theory is the general covariance of the action without any restrictions on the order of derivatives of the independent variables in it or their transformation laws. As a result of the generalized Noether procedure, we obtain a recurrent chain of the equations, which allows one to express canonical pEMT as a divergence of the superpotential. The explicit expression for this superpotential is also given. We discuss the structure of the obtained expressions and the conditions for the derived pEMT conservation laws to be satisfied independently (fully or partially) by the equations of motion. Deformations of the superpotential form for theories with a change in the independent variables in action are also considered. We apply these results to some interesting particular cases: general relativity and its modifications, particularly mimetic gravity and Regge–Teitelboim embedding gravity.

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“…For particular cases of (1) with N 1 , N 2 , N 3 ≤ 2 instead of Ψ α βρ one can [2] use the following superpotential:…”

Section: General Form Of the Superpotentialmentioning

confidence: 99%

“…where δy a and δϕ A are defined in (2) and (3). Integration by parts can remove all the derivatives from ξ µ because we assumed it has compact support.…”

Section: Properties Of Gravitational and Matter Contributions Into Sumentioning

confidence: 99%

“…As one shall see below, it can be used to simplify them further. Now we can use (2) and 3in (37) and then use (40) and 7in the result to obtain the following:…”

Section: Properties Of Gravitational and Matter Contributions Into Sumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Energy–Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form

Ilin

Paston

2020

Universe

View full text Add to dashboard Cite

show abstract

“…As a result, the total energymomentum density is not well-defined. This observation was done back at the dawn of the GR (for historical review see [1,2]). Despite the existence of the "covariantization" methods for such densities (see, for example, [3][4][5]), there is no widely accepted solution for this "nonlocalizability" problem.…”

Section: Introductionmentioning

confidence: 99%