# Gravitational waves in ghost free bimetric gravity

## Abstract

We obtain a set of exact gravitational wave solutions for the ghost free bimetric theory of gravity. With a flat reference metric, the theory admits the vacuum Brinkmann plane wave solution for suitable choices of the coefficients of different terms in the interaction potential. An exact gravitational wave solution corresponding to a massive scalar mode is also admitted for arbitrary choice of the coefficients with the reference metric being proportional to the spacetime metric. The proportionality factor and the speed of the wave are calculated in terms of the parameters of the theory. We also show that a F(R) extension of the theory admits similar solutions but in general is plagued with ghost instabilities.

- Authors:

- Physics Department, Payame Noor University, 19395-3697 Tehran (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22279751

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; COSMOLOGY; GRAVITATIONAL WAVES; MATHEMATICAL SOLUTIONS; METRICS; POTENTIALS; SCALARS; SPACE-TIME; VELOCITY; WAVE PROPAGATION

### Citation Formats

```
Mohseni, Morteza, E-mail: m-mohseni@pnu.ac.ir.
```*Gravitational waves in ghost free bimetric gravity*. United States: N. p., 2012.
Web. doi:10.1088/1475-7516/2012/11/023.

```
Mohseni, Morteza, E-mail: m-mohseni@pnu.ac.ir.
```*Gravitational waves in ghost free bimetric gravity*. United States. doi:10.1088/1475-7516/2012/11/023.

```
Mohseni, Morteza, E-mail: m-mohseni@pnu.ac.ir. Thu .
"Gravitational waves in ghost free bimetric gravity". United States. doi:10.1088/1475-7516/2012/11/023.
```

```
@article{osti_22279751,
```

title = {Gravitational waves in ghost free bimetric gravity},

author = {Mohseni, Morteza, E-mail: m-mohseni@pnu.ac.ir},

abstractNote = {We obtain a set of exact gravitational wave solutions for the ghost free bimetric theory of gravity. With a flat reference metric, the theory admits the vacuum Brinkmann plane wave solution for suitable choices of the coefficients of different terms in the interaction potential. An exact gravitational wave solution corresponding to a massive scalar mode is also admitted for arbitrary choice of the coefficients with the reference metric being proportional to the spacetime metric. The proportionality factor and the speed of the wave are calculated in terms of the parameters of the theory. We also show that a F(R) extension of the theory admits similar solutions but in general is plagued with ghost instabilities.},

doi = {10.1088/1475-7516/2012/11/023},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 11,

volume = 2012,

place = {United States},

year = {2012},

month = {11}

}

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