Dynamical foundations of the brane-induced gravity

作者：Akama Keiichi^*; Hattori Takashi

来源：Classical and Quantum Gravity, 2013, 30(20): 205002.

DOI：10.1088/0264-9381/30/20/205002

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to divergences, which should be cut off at the scale of the inverse thickness of the brane. It turns out that the induced-metric formula is converted into an Einstein-like equation via quantum effects. We determine the coefficients of the induced cosmological and gravity terms, as well as those of the terms including the extrinsic curvature and the normal connection gauge field. The latter is the characteristic of the brane-induced gravity theory, distinguished from ordinary non-brane-induced gravity.

• 出版日期2013-10-21