# Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory

## Abstract

In this paper, we analyze the cosmological models in Einstein-Aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We use this formalism to analyse different cosmological models with different behavior of the scale factor. In this analysis, we use a certain functional dependence of the Dark Energy (DE) on the Hubble parameter H . It will be demonstrated that the Aether vector field has a non-trivial effect on these cosmological models. We also perform the Om diagnostic in Einstein-Aether gravity and we fit the parameters of the cosmological models using recent observational data.

- Authors:

- Department of Physics, University of Trieste, Via Valerio 2, 34127 Trieste (Italy)
- Pailan College of Management and Technology, Bengal Pailan Park, Kolkata-700 104 (India)
- Eurasian International Center for Theoretical Physics and Department of General and Theoretical Physics, Eurasian National University, Astana 010008 (Kazakhstan)
- Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000 (Pakistan)
- Irving K. Barber School of Arts and Sciences, University of British Columbia—Okanagan, Kelowna, British Columbia V1V 1V7 (Canada)

- Publication Date:

- OSTI Identifier:
- 22679925

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 04; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; GENERAL RELATIVITY THEORY; GRAVITATION; NONLUMINOUS MATTER; SYMMETRY; VECTOR FIELDS

### Citation Formats

```
Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com.
```*Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/04/015.

```
Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, & Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com.
```*Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory*. United States. doi:10.1088/1475-7516/2017/04/015.

```
Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com. Sat .
"Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory". United States.
doi:10.1088/1475-7516/2017/04/015.
```

```
@article{osti_22679925,
```

title = {Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory},

author = {Pasqua, Antonio and Chattopadhyay, Surajit and Momeni, Davood and Myrzakulov, Ratbay and Raza, Muhammad and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com},

abstractNote = {In this paper, we analyze the cosmological models in Einstein-Aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We use this formalism to analyse different cosmological models with different behavior of the scale factor. In this analysis, we use a certain functional dependence of the Dark Energy (DE) on the Hubble parameter H . It will be demonstrated that the Aether vector field has a non-trivial effect on these cosmological models. We also perform the Om diagnostic in Einstein-Aether gravity and we fit the parameters of the cosmological models using recent observational data.},

doi = {10.1088/1475-7516/2017/04/015},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 04,

volume = 2017,

place = {United States},

year = {Sat Apr 01 00:00:00 EDT 2017},

month = {Sat Apr 01 00:00:00 EDT 2017}

}

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