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f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology

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Abstract

We derive the condition on f(R) gravities that admit Killing spinor equations and construct explicit such examples. The Killing spinor equations can be used to reduce the fourth-order differential equations of motion to the first order for both the domain wall and FLRW cosmological solutions. We obtain exact “BPS” domain walls that describe the smooth Randall-Sundrum II, AdS wormholes and the RG flow from IR to UV. We also obtain exact smooth cosmological solutions that describe the evolution from an inflationary starting point with a larger cosmological constant to an ever-expanding universe with a smaller cosmological constant. In addition, We find exact smooth solutions of pre-big bang models, bouncing or crunching universes. An important feature is that the scalar curvature R of all these metrics is varying rather than a constant. Another intriguing feature is that there are two different f(R) gravities that give rise to the same “BPS” solution. We also study linearized f(R) gravities in (A)dS vacua.

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Authors and Affiliations

  1. Zheijiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China

    Haishan Liu

  2. China Economics and Management Academy, Central University of Finance and Economics, Beijing, 100081, China

    H. Lü

  3. Institute for Advanced Study, Shenzhen University, Nanhai Ave 3688, Shenzhen, 518060, China

    H. Lü

  4. School of Physics, Korea Institute for Advanced Study, Seoul, 130-722, Korea

    Zhao-Long Wang

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  1. Haishan Liu
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  2. H. Lü
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  3. Zhao-Long Wang
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Correspondence to Haishan Liu.

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ArXiv ePrint: 1111.6602

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Liu, H., Lü, H. & Wang, ZL. f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology. J. High Energ. Phys. 2012, 83 (2012). https://doi.org/10.1007/JHEP02(2012)083

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