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The Weyl-Cartan Gauss-Bonnet gravity

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arxiv 1410.2412 v2 pith:LKJKWE4P submitted 2014-10-09 gr-qc hep-th

Zahra Haghani , Nima Khosravi , Shahab Shahidi This is my paper · ORCID
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keywords actiongauss-bonnetspace-timewilldimensionalgeneralizedspecialtorsion
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abstract

In this paper, we consider the generalized Gauss-Bonnet action in $4$-dimensional Weyl-Cartan space-time. In this space-time, the presence of torsion tensor and Weyl vector implies that the generalized Gauss-Bonnet action will not be a total derivative in four dimension space-time. It will be shown that the higher than two time derivatives can be removed from the action by choosing suitable set of parameters. In the special case where only the trace part of the torsion remains, the model reduces to GR plus two vector fields. One of which is massless and the other is massive. We will then obtain the healthy region of the 5-dimensional parameter space of the theory in some special cases.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. D-dimensional black holes in extended Gauss-Bonnet gravity

    gr-qc 2025-08 conditional novelty 5.0 of 10

    Charged and rotating anti-de Sitter black hole solutions are constructed in extended Gauss-Bonnet gravity for dimensions three, four, five and higher.

  2. Modified gravity from Weyl connection and the $f(R,\cal{A})$ extension

    gr-qc 2024-11 reject novelty 5.0 of 10

    Weyl-connection gravity with a dynamical vector field produces an effective dark energy sector, recovering Lambda-CDM in one class and dynamical dark energy in others.

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