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arXiv 1310.3249hep-thgr-qc
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Zwei-Dreibein引力中的Boulware-Deser模

The Boulware-Deser mode in Zwei-Dreibein gravity

Máximo Bañados, Cedric Deffayet, Miguel Pino

摘要:

三维空间中的大质量引力有几种不同的表述。最近,Bergshoeff { \it et al.}研究了一阶形式的三维双重力dRGT模型Zwei-Dreibein引力。有人认为Boulware-Deser模式被额外的约束所扼杀。我们重新审视这一论断,并得出结论,有部门的空间的初始条件,或子集的最一般的这样的模型,这种模式是缺席。但是,一般来说,该理论确实具有3个自由度,因此Boulware-Deser模式仍然有效。我们的结果也揭示了dRGT模型的度量和vierbein公式之间的等价性。

英文摘要:

Massive gravity in three dimensions accepts several different formulations. Recently, the 3-dimensional bigravity dRGT model in first order form, Zwei-Dreibein gravity, was considered by Bergshoeff {\it et al.} and it was argued that the Boulware-Deser mode is killed by extra constraints. We revisit this assertion and conclude that there are sectors on the space of initial conditions, or subsets of the most general such model, where this mode is absent. But, generically, the theory does carry 3 degrees of freedom and thus the Boulware-Deser mode is still active. Our results also sheds light on the equivalence between metric and vierbein formulations of dRGT model.

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