Abstract

We present a new quasidilaton theory of Poincare invariant massive gravity, based on the recently proposed framework of matter coupling that makes it possible for the kinetic energy of the quasidilaton scalar to couple to both physical and fiducial metrics simultaneously. We find a scaling-type exact solution that expresses a self-accelerating de Sitter universe, and then analyze linear perturbations around it. It is shown that in a range of parameters all physical degrees of freedom have non-vanishing quadratic kinetic terms and are stable in the subhorizon limit, while the effective Newton's constant for the background is kept positive.

Highlights

  • We have presented a new quasidilaton theory of Poincare invariant massive gravity, based on the recently proposed framework of matter coupling that makes it possible for the kinetic energy of the quasidilaton scalar to couple both physical and fiducial metrics

  • We have found a scaling-type exact solution that expresses a self-accelerating de Sitter universe, and analyzed linear perturbations around it

  • We have shown that in a range of parameters all physical degrees of freedom have non-vanishing quadratic kinetic terms and are stable in the subhorizon limit, while the effective Newton’s constant for the background is kept positive

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Summary

Shinji Mukohyama

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan Kavli Institute for the Physics and Mathematics of the Universe (WPI), Todai Institutes for Advanced Study, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583, Japan

From dRGT to new quasidilaton theory
Original quasidilaton
New quasidilaton
Tensor perturbations
Vector perturbations
Scalar perturbations
Subhorizon stability
Positivity of sound speed squared
Summary and discussions
Full Text
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