# New quasidilaton theory in partially constrained vielbein formalism

## Abstract

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity, where the quasidilaton field couples to both physical and fiducial metrics simultaneously via a composite effective metric and Lorentz violation is introduced by a constraint on the vielbein. This formalism improves the new quasidilaton model since the Boulware-Deser ghost is removed fully non-linearly at all scales. This also yields crucial implications in the cosmological applications. We derive the governing cosmological background evolution and study the stability of the attractor solution.

- Authors:

- Center for Gravitational Physics, Yukawa Institute for Theoretical Physics,Kyoto University,606-8502, Kyoto (Japan)
- Theoretical Physics Group, Blackett Laboratory, Imperial College London,South Kensington Campus, London, SW7 2AZ (United Kingdom)
- Institute for Theoretical Studies, ETH Zurich,Clausiusstrasse 47, 8092 Zurich (Switzerland)
- (WPI),UTIAS, The University of Tokyo,Kashiwa, Chiba 277-8583 (Japan)
- Department of Applied Mathematics and Theoretical Physics,Centre for Mathematical Sciences, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22572084

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 05; Other Information: PUBLISHER-ID: JCAP05(2016)061; OAI: oai:repo.scoap3.org:15759; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGY; DILATONS; GRAVITATION; LORENTZ INVARIANCE; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; METRICS; NONLUMINOUS MATTER; PERTURBATION THEORY

### Citation Formats

```
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, and Tanahashi, Norihiro.
```*New quasidilaton theory in partially constrained vielbein formalism*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/05/061.

```
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, & Tanahashi, Norihiro.
```*New quasidilaton theory in partially constrained vielbein formalism*. United States. doi:10.1088/1475-7516/2016/05/061.

```
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, and Tanahashi, Norihiro. Wed .
"New quasidilaton theory in partially constrained vielbein formalism". United States.
doi:10.1088/1475-7516/2016/05/061.
```

```
@article{osti_22572084,
```

title = {New quasidilaton theory in partially constrained vielbein formalism},

author = {Felice, Antonio De and Gümrükçüoğlu, A. Emir and Heisenberg, Lavinia and Mukohyama, Shinji and Kavli Institute for the Physics and Mathematics of the Universe and Tanahashi, Norihiro},

abstractNote = {In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity, where the quasidilaton field couples to both physical and fiducial metrics simultaneously via a composite effective metric and Lorentz violation is introduced by a constraint on the vielbein. This formalism improves the new quasidilaton model since the Boulware-Deser ghost is removed fully non-linearly at all scales. This also yields crucial implications in the cosmological applications. We derive the governing cosmological background evolution and study the stability of the attractor solution.},

doi = {10.1088/1475-7516/2016/05/061},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 05,

volume = 2016,

place = {United States},

year = {Wed May 25 00:00:00 EDT 2016},

month = {Wed May 25 00:00:00 EDT 2016}

}

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