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arXiv 1303.6940hep-thgr-qc
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双度规和部分无质量双度规理论中的高阶导数引力和共形引力

Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory

S. F. Hassan, Angnis Schmidt-May, Mikael von Strauss

摘要:

本文建立了无鬼影双度量理论与一类高阶导数引力作用量(包括共形引力和新质量引力)之间的对应关系。我们还描述了各自的运动方程和经典解之间的关系。我们说明,在这个框架中,自旋-2鬼的高阶导数引力是一个文物的截断到一个4-导数理论。分析还给出了建议的部分无质量(PM)的双度量理论和共形引力之间的关系,特别是显示,在4-导数水平的运动方程的等价性。对于PM双度规理论,这提供了额外的规范对称性的存在和传播模式远离德西特背景的相关损失的进一步证据。这种新的对称性是外尔对称性的推广,外尔对称性也表明PM双度规理论是共形引力的一种无鬼影的完备。

英文摘要:

In this paper we establish the correspondence between ghost-free bimetric theory and a class of higher derivative gravity actions, including conformal gravity and New Massive Gravity. We also characterize the relation between the respective equations of motion and classical solutions. We illustrate that, in this framework, the spin-2 ghost of higher derivative gravity is an artifact of the truncation to a 4-derivative theory. The analysis also gives a relation between the proposed partially massless (PM) bimetric theory and conformal gravity, showing, in particular, the equivalence of their equations of motion at the 4-derivative level. For the PM bimetric theory this provides further evidence for the existence of an extra gauge symmetry and the associated loss of a propagating mode away from de Sitter backgrounds. The new symmetry is an extension of Weyl symmetry which also suggests the PM bimetric theory as a ghost-free completion of conformal gravity.

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