Variational formalism for the quadratic Langrangians in tetrad gravitation theory

Baburova, O. V.; Korolev, V. F.; Umyarova, I. Ya.

doi:10.1007/s11182-006-0137-2

Cited by 3 publications

(9 citation statements)

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“…By analogy with the theorem presented in [3], the following theorem (see [2]) can be formulated in the WeylCartan space.…”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…The corresponding expressions for the variational derivatives determined from equalities (I.8)-(I.10) presented in [3] must be substituted into Eqs. (4)-(6).…”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…(4)-(6). The first equation (4) for the gravitational field in the Weyl-Cartan space with Lagrangian (I.3) presented in [3] can be written as follows: …”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…In the present work, results of calculations performed in [3] are used; references to formulas of this work are denoted by (I …).…”

Section: Introductionmentioning

confidence: 99%

“…The second equation (4) To derive the third field equation, the variational derivative in the tetrads borrowed from [3] [Eq. (I.9)] must be substituted into Eq.…”

mentioning

confidence: 99%

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Variational formalism and field equations of tetrad gravitation theory in the Weyl-Cartan space

Babourova

Korolev

2006

Russ Phys J

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A variational formalism of tetrad gravitation theory is developed in the Weyl-Cartan space with independent variations in the tetrad coefficients, metric tensor components, and affine connectivity coefficients that considers the Weyl condition imposed on the nonmetricity based on the method of undetermined Lagrange multipliers. The gravitational field equations are derived for the Lagrangian comprising all possible quadratic convolutions of curvature, torsion, and nonmetricity tensors in addition to the linear component. Differential identities are obtained for the general gravitational Lagrangian in the Weyl-Cartan space.

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“…By analogy with the theorem presented in [3], the following theorem (see [2]) can be formulated in the WeylCartan space.…”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…The corresponding expressions for the variational derivatives determined from equalities (I.8)-(I.10) presented in [3] must be substituted into Eqs. (4)-(6).…”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…(4)-(6). The first equation (4) for the gravitational field in the Weyl-Cartan space with Lagrangian (I.3) presented in [3] can be written as follows: …”

Section: Differential Identities and Gravitational Field Equations Inmentioning

confidence: 99%

“…In the present work, results of calculations performed in [3] are used; references to formulas of this work are denoted by (I …).…”

Section: Introductionmentioning

confidence: 99%

“…The second equation (4) To derive the third field equation, the variational derivative in the tetrads borrowed from [3] [Eq. (I.9)] must be substituted into Eq.…”

mentioning

confidence: 99%

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