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arXiv 2104.05917gr-qcastro-ph.COhep-th
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再论无鬼不稳定性的宇称破坏引力模型:局部洛伦兹协方差

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

Mingzhe Li, Haomin Rao, Yeheng Tong

摘要:

近年来,基于遥平行引力理论,[M。Li,H. Rao和D.赵,J. Cosmol。太空船。11(2020)023],其中采用Weitzenböck连接来简化计算,但明确地破坏了局部洛伦兹对称性。本文通过放弃自旋联系的Weitzenböck条件,恢复了该模型的定域洛伦兹对称性。在完全局域Lorentz协变性的情况下,该模型不再是一个纯粹的四分体理论。我们还将新的模型应用到具有一般Friedmann-Robertson-Walker背景的宇宙中。这进一步推广了[M. Li,H. Rao和D.赵,J. Cosmol。太空船。11(2020)023],其中仅考虑空间平坦背景。通过本文的研究,我们证实了[M. Li,H. Rao和D.赵,J. Cosmol。阿斯特罗帕特Phys.11(2020)023],并获得了一些新的结果。

英文摘要:

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 Weitzenböck 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 Weitzenböck 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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