# Some exact anisotropic solutions via Noether symmetry in f(R) gravity

## Abstract

We attempt to find exact solutions of the Bianchi I model in f(R) gravity using the Noether symmetry approach. For this purpose, we take a perfect fluid and formulate conserved quantities for the power-law f(R) model. We discuss some cosmological parameters for the resulting solution which are responsible for expanding behavior of the universe. We also explore Noether gauge symmetry and the corresponding conserved quantity. It is concluded that symmetry generators as well as conserved quantities exist in all cases and the behavior of cosmological parameters shows consistency with recent observational data.

- Authors:

- University of the Punjab, Department of Mathematics (Pakistan)

- Publication Date:

- OSTI Identifier:
- 22472438

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; COSMOLOGY; EXACT SOLUTIONS; GAUGE INVARIANCE; GRAVITATION; IDEAL FLOW; INFLATIONARY UNIVERSE; SYMMETRY; UNIVERSE

### Citation Formats

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, and Nawazish, I., E-mail: iqranawazish07@gmail.com.
```*Some exact anisotropic solutions via Noether symmetry in f(R) gravity*. United States: N. p., 2015.
Web. doi:10.1134/S1063776114110119.

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, & Nawazish, I., E-mail: iqranawazish07@gmail.com.
```*Some exact anisotropic solutions via Noether symmetry in f(R) gravity*. United States. doi:10.1134/S1063776114110119.

```
Sharif, M., E-mail: msharif.math@pu.edu.pk, and Nawazish, I., E-mail: iqranawazish07@gmail.com. Thu .
"Some exact anisotropic solutions via Noether symmetry in f(R) gravity". United States.
doi:10.1134/S1063776114110119.
```

```
@article{osti_22472438,
```

title = {Some exact anisotropic solutions via Noether symmetry in f(R) gravity},

author = {Sharif, M., E-mail: msharif.math@pu.edu.pk and Nawazish, I., E-mail: iqranawazish07@gmail.com},

abstractNote = {We attempt to find exact solutions of the Bianchi I model in f(R) gravity using the Noether symmetry approach. For this purpose, we take a perfect fluid and formulate conserved quantities for the power-law f(R) model. We discuss some cosmological parameters for the resulting solution which are responsible for expanding behavior of the universe. We also explore Noether gauge symmetry and the corresponding conserved quantity. It is concluded that symmetry generators as well as conserved quantities exist in all cases and the behavior of cosmological parameters shows consistency with recent observational data.},

doi = {10.1134/S1063776114110119},

journal = {Journal of Experimental and Theoretical Physics},

number = 1,

volume = 120,

place = {United States},

year = {Thu Jan 15 00:00:00 EST 2015},

month = {Thu Jan 15 00:00:00 EST 2015}

}

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