Non-Metric Gravity I: Field Equations

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dc.creatorKrasnov, Kirill
dc.date2007-03-01
dc.date2007-10-16
dc.date.accessioned2026-07-07T11:21:48Z
dc.date.available2026-07-07T11:21:48Z
dc.descriptionWe describe and study a certain class of modified gravity theories. Our starting point is Plebanski formulation of gravity in terms of a triple B^i of 2-forms, a connection A^i and a ``Lagrange multiplier'' field Psi^ij. The generalization we consider stems from presence in the action of an extra term proportional to a scalar function of Psi^ij. As in the usual Plebanski general relativity (GR) case, a certain metric can be constructed from B^i. However, unlike in GR, the connection A^i no longer coincides with the self-dual part of the metric-compatible spin-connection. Field equations of the theory are shown to be relations between derivatives of the metric and components of field Psi, as well as its derivatives, the later being in contrast to the GR case. The equations are of second order in derivatives. An analog of the Bianchi identity is still present in the theory, as well as its contracted version tantamount to energy conservation equation.
dc.description21 pages, no figures (v2) energy conservation equation simplified, note on reality conditions added (v3) minor changes
dc.identifierhttps://arxiv.org/abs/gr-qc/0703002
dc.identifierhttp://arxiv.org/abs/gr-qc/0703002
dc.identifierClass.Quant.Grav.25:025001,2008
dc.identifierdoi:10.1088/0264-9381/25/2/025001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194369
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Metric Gravity I: Field Equations
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