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Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance

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arxiv 2104.05917 v4 pith:QH3YBH4Y submitted 2021-04-13 gr-qc astro-ph.COhep-th

Mingzhe Li , Haomin Rao , Yeheng Tong This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords modellocallorentzastropartcosmolgravityphyszhao
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Recently, based on the theory of teleparallel gravity, a simple and ghost free parity violating gravity model was proposed in [M. Li, H. Rao, and D. Zhao, J. Cosmol. Astropart. Phys. 11 (2020) 023], where the Weitzenb\"{o}ck connection was adopted for simplifying the calculations but breaks the local Lorentz symmetry explicitly. In this paper, we restore the local Lorentz symmetry of this model by giving up the Weitzenb\"{o}ck condition on the spin connection. With full local Lorentz covariance, this model is not a pure tetrad theory any more. We also apply the new version of this model to the universe with general Friedmann-Robertson-Walker background. This further generalizes the studies of [M. Li, H. Rao, and D. Zhao, J. Cosmol. Astropart. Phys. 11 (2020) 023] where only the spatially flat background was considered. Through the investigations of this paper, we confirm the results obtained in [M. Li, H. Rao, and D. Zhao, J. Cosmol. Astropart. Phys. 11 (2020) 023] and in addition get some new results.

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Cited by 5 Pith papers

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