# Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions

## Abstract

In this paper, we consider a spherical symmetric metric to extract the hydrostatic equilibrium equation of stars in (3+1)-dimensional gravity’s rainbow in the presence of cosmological constant. Then, we generalize the hydrostatic equilibrium equation to d-dimensions and obtain the hydrostatic equilibrium equation for this gravity. Also, we obtain the maximum mass of neutron star using the modern equations of state of neutron star matter derived from the microscopic calculations. It is notable that, in this paper, we consider the effects of rainbow functions on the diagrams related to the mass-central mass density (M-ρ{sub c}) relation and also the mass-radius (M-R) relation of neutron star. We also study the effects of rainbow functions on the other properties of neutron star such as the Schwarzschild radius, average density, strength of gravity and gravitational redshift. Then, we apply the cosmological constant to this theory to obtain the diagrams of M-ρ{sub c} (or M-R) and other properties of these stars. Next, we investigate the dynamical stability condition for these stars in gravity’s rainbow and show that these stars have dynamical stability. We also obtain a relation between mass of neutron stars and Planck mass. In addition, we compare obtained results of this theory withmore »

- Authors:

- Physics Department and Biruni Observatory, College of Sciences, Shiraz University,Shiraz 71454 (Iran, Islamic Republic of)
- (RIAAM),P.O. Box 55134-441, Maragha (Iran, Islamic Republic of)
- (CEAA-RIAAM)-Maragha,P.O. Box 55134-441, Maragha 55177-36698 (Iran, Islamic Republic of)
- (Iran, Islamic Republic of)

- Publication Date:

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

- OSTI Identifier:
- 22572148

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 09; Other Information: PUBLISHER-ID: JCAP09(2016)013; OAI: oai:repo.scoap3.org:17083; 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; COSMOLOGICAL CONSTANT; COSMOLOGY; EQUATIONS OF STATE; EQUILIBRIUM; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; METRICS; NEUTRON STARS; RED SHIFT; SCHWARZSCHILD RADIUS; SPHERICAL CONFIGURATION; STABILITY

### Citation Formats

```
Hendi, S.H., Research Institute for Astronomy and Astrophysics of Maragha, Bordbar, G.H., Center for Excellence in Astronomy and Astrophysics, Panah, B. Eslam, Panahiyan, S., and Physics Department, Shahid Beheshti University,Tehran 19839.
```*Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/09/013.

```
Hendi, S.H., Research Institute for Astronomy and Astrophysics of Maragha, Bordbar, G.H., Center for Excellence in Astronomy and Astrophysics, Panah, B. Eslam, Panahiyan, S., & Physics Department, Shahid Beheshti University,Tehran 19839.
```*Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions*. United States. doi:10.1088/1475-7516/2016/09/013.

```
Hendi, S.H., Research Institute for Astronomy and Astrophysics of Maragha, Bordbar, G.H., Center for Excellence in Astronomy and Astrophysics, Panah, B. Eslam, Panahiyan, S., and Physics Department, Shahid Beheshti University,Tehran 19839. Fri .
"Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions". United States.
doi:10.1088/1475-7516/2016/09/013.
```

```
@article{osti_22572148,
```

title = {Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions},

author = {Hendi, S.H. and Research Institute for Astronomy and Astrophysics of Maragha and Bordbar, G.H. and Center for Excellence in Astronomy and Astrophysics and Panah, B. Eslam and Panahiyan, S. and Physics Department, Shahid Beheshti University,Tehran 19839},

abstractNote = {In this paper, we consider a spherical symmetric metric to extract the hydrostatic equilibrium equation of stars in (3+1)-dimensional gravity’s rainbow in the presence of cosmological constant. Then, we generalize the hydrostatic equilibrium equation to d-dimensions and obtain the hydrostatic equilibrium equation for this gravity. Also, we obtain the maximum mass of neutron star using the modern equations of state of neutron star matter derived from the microscopic calculations. It is notable that, in this paper, we consider the effects of rainbow functions on the diagrams related to the mass-central mass density (M-ρ{sub c}) relation and also the mass-radius (M-R) relation of neutron star. We also study the effects of rainbow functions on the other properties of neutron star such as the Schwarzschild radius, average density, strength of gravity and gravitational redshift. Then, we apply the cosmological constant to this theory to obtain the diagrams of M-ρ{sub c} (or M-R) and other properties of these stars. Next, we investigate the dynamical stability condition for these stars in gravity’s rainbow and show that these stars have dynamical stability. We also obtain a relation between mass of neutron stars and Planck mass. In addition, we compare obtained results of this theory with the observational data.},

doi = {10.1088/1475-7516/2016/09/013},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 09,

volume = 2016,

place = {United States},

year = {Fri Sep 09 00:00:00 EDT 2016},

month = {Fri Sep 09 00:00:00 EDT 2016}

}