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arXiv 1006.4264hep-thastro-ph.COgr-qc
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英文名称:New Massive Gravity:Exact Solutions

More on New Massive Gravity: Exact Solutions

Haji Ahmedov, Alikram N. Aliev

摘要:

本文对最近提出的三维新质量引力理论(NMG)进行了新的描述。我们表明,在Dirac型微分算子作用于无痕Ricci张量,场方程的理论减少到大量的Klein-Gordon型方程的曲率平方源项和约束方程。在源张量与无迹Ricci张量之间的一定关系下,满足常标量曲率,拓扑有质量引力场方程可以看作是有质量Klein-Gordon型方程的“平方根”.利用这一事实,我们建立了一个简单的框架,所有已知的代数类型D和N的解决方案的TMG到NMG映射。我们还提出了新的精确解的代数类型D和N,这是唯一固有的NMG。

英文摘要:

We give a novel description of the recently proposed theory of new massive gravity (NMG) in three dimensions. We show that in terms of a Dirac type differential operator acting on the traceless Ricci tensor, the field equations of the theory reduce to the massive Klein-Gordon type equation with a curvature-squared source term and to a constraint equation. Under a certain relation between the source tensor and the traceless Ricci tensor, fulfilled for constant scalar curvature, the field equations of topologically massive gravity (TMG) can be thought of as the "square-root" of the massive Klein-Gordon type equation. Using this fact, we establish a simple framework for mapping all known algebraic types D and N solutions of TMG into NMG. We also present new exact solutions of algebraic types D and N which are only inherent in NMG.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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