Theories of gravitation in two dimensions

Gegenberg, J.; Kelly, Patrick; Mann, Robert B.; Vincent, D.

doi:10.1103/physrevd.37.3463

Cited by 49 publications

(56 citation statements)

References 33 publications

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“…The first three generators (30,31,33) are same as the generators obtained in the second order formulation (19,20,21). Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Similar to the first order formulation of the non-Abelian gauge theory there is also a first order version of the Einstein-Hilbert action [19] …”

Section: Palatini Formulationmentioning

confidence: 99%

“…The issues related to two dimension may be found in [19]. After obtaining the Euler derivatives we now give the gauge identity for the Palatini formulation…”

Section: Palatini Formulationmentioning

confidence: 99%

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Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity

Samanta

2008

Int J Theor Phys

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Starting from a knowledge of certain identities in the Lagrangian description, the diffeomorphism transformations of metric and connection are obtained for both the second order (metric) and the first order (Palatini) formulations of gravity. The transformation laws of the connection and the metric are derived independently in the Palatini formulation in contrast to the metric formulation where the gauge variation of the connection is deduced from the gauge variation of the metric.

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“…The first three generators (30,31,33) are same as the generators obtained in the second order formulation (19,20,21). Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Similar to the first order formulation of the non-Abelian gauge theory there is also a first order version of the Einstein-Hilbert action [19] …”

Section: Palatini Formulationmentioning

confidence: 99%

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Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity

Samanta

2008

Int J Theor Phys

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“…al. for (1 + 1) gravity [12]. Consider the action (7) for N = 2 with each of H, I, J, K, L set to zero.…”

Section: Extended Action Dynamicsmentioning

confidence: 99%

Palatini variational principle for an extended Einstein-Hilbert action

Burton

Mann

1998

Phys. Rev. D

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We consider a Palatini variation on a generalized Einstein-Hilbert action. We find that the Hilbert constraint, that the connection equals the Christoffel symbol, arises only as a special case of this general action, while for particular values of the coefficients of this generalized action, the connection is completely unconstrained. We discuss the relationship between this situation and that usually encountered in the Palatini formulation.

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“…In D = 2 the field equations cannot be solved for Γ λ µν in terms of g µν [5][6][7], which is why equation (2) does not provide an equivalent first-order formulation of EH action in 2D. For the Hamiltonian treatment of real two-dimensional gravity in second-order form see [8,9].…”

Section: Introductionmentioning

confidence: 99%