# Disformal transformations, veiled General Relativity and Mimetic Gravity

## Abstract

In this Note we show that Einstein's equations for gravity are generically invariant under ''disformations''. We also show that the particular subclass when this is not true yields the equations of motion of ''Mimetic Gravity''. Finally we give the ''mimetic'' generalization of the Schwarzschild solution.

- Authors:

- APC, CNRS-Université Paris 7, 75205 Paris CEDEX 13 (France)
- Instituto de Cosmologia, Relatividade e Astrofísica—ICRA/CBPF, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro (Brazil)

- Publication Date:

- OSTI Identifier:
- 22375906

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 09; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; EINSTEIN FIELD EQUATIONS; EQUATIONS OF MOTION; GENERAL RELATIVITY THEORY; GRAVITATION; SCHWARZSCHILD METRIC; TRANSFORMATIONS; YIELDS

### Citation Formats

```
Deruelle, Nathalie, and Rua, Josephine, E-mail: deruelle@ihes.fr, E-mail: rua@cbpf.br.
```*Disformal transformations, veiled General Relativity and Mimetic Gravity*. United States: N. p., 2014.
Web. doi:10.1088/1475-7516/2014/09/002.

```
Deruelle, Nathalie, & Rua, Josephine, E-mail: deruelle@ihes.fr, E-mail: rua@cbpf.br.
```*Disformal transformations, veiled General Relativity and Mimetic Gravity*. United States. doi:10.1088/1475-7516/2014/09/002.

```
Deruelle, Nathalie, and Rua, Josephine, E-mail: deruelle@ihes.fr, E-mail: rua@cbpf.br. Mon .
"Disformal transformations, veiled General Relativity and Mimetic Gravity". United States.
doi:10.1088/1475-7516/2014/09/002.
```

```
@article{osti_22375906,
```

title = {Disformal transformations, veiled General Relativity and Mimetic Gravity},

author = {Deruelle, Nathalie and Rua, Josephine, E-mail: deruelle@ihes.fr, E-mail: rua@cbpf.br},

abstractNote = {In this Note we show that Einstein's equations for gravity are generically invariant under ''disformations''. We also show that the particular subclass when this is not true yields the equations of motion of ''Mimetic Gravity''. Finally we give the ''mimetic'' generalization of the Schwarzschild solution.},

doi = {10.1088/1475-7516/2014/09/002},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 09,

volume = 2014,

place = {United States},

year = {Mon Sep 01 00:00:00 EDT 2014},

month = {Mon Sep 01 00:00:00 EDT 2014}

}

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