Phys. Rev. D 80, 041501(R) (2009) [5 pages]

Dynamical scalar degree of freedom in Hořava-Lifshitz gravity

Abstract

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Rong-Gen Cai^1,*, Bin Hu^1,†, and Hong-Bo Zhang^1,2,‡
¹Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China
²Graduate University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China

Received 13 May 2009; published 17 August 2009

We investigate the linear cosmological perturbations of Hořava-Lifshitz gravity in a Friedmann-Robertson-Walker universe without any matter. Our results show that a new gauge-invariant dynamical scalar mode emerges, due to the gauge transformation under the “foliation-preserving” diffeomorphism and “projectability condition,” and it can produce a scale invariant power spectrum. In the infrared regime with λ=1, the dynamical scalar degree of freedom turns to be a nondynamical one at the linear order level.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.80.041501

DOI:

10.1103/PhysRevD.80.041501

PACS:

04.60.−m, 98.80.Bp, 98.80.Cq, 98.80.Qc

^*cairg@itp.ac.cn

^†hubin@itp.ac.cn

^‡hbzhang@itp.ac.cn

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Phys. Rev. D 80, 041501(R) (2009) [5 pages]

Dynamical scalar degree of freedom in Hořava-Lifshitz gravity