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25 September 2022
  » arxiv » gr-qc/0703002

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Non-Metric Gravity I: Field Equations
Kirill Krasnov ;
Date 1 Mar 2007
AbstractWe describe and study a certain class of modified gravity theories. Our starting point is Plebanski formulation of gravity in terms of a tripple of 2-forms, a connection A and a ``Lagrange multiplier’’ field Psi. The generalization we consider stems from presence in the action of an extra term proportional to a scalar function of Psi. As in the usual Plebanski general relativity (GR) case, the equations coming from variations with respect to Psi imply that a certain metric can be introduced. However, unlike in GR, the connection A 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. The arising modifications to the later are possibly of experimental significance.
Source arXiv, gr-qc/0703002
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