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 ddimensions 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 masscentral mass density (Mρ{sub c}) relation and also the massradius (MR) 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 Mρ{sub c} (or MR) 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 55134441, Maragha (Iran, Islamic Republic of)
 (CEAARIAAM)Maragha,P.O. Box 55134441, Maragha 5517736698 (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: PUBLISHERID: JCAP09(2016)013; OAI: oai:repo.scoap3.org:17083; ccby 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; FOURDIMENSIONAL 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:10.1088/14757516/2016/09/013.
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:10.1088/14757516/2016/09/013.
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. 2016.
"Modified TOV in gravity’s rainbow: properties of neutron stars and dynamical stability conditions". United States.
doi:10.1088/14757516/2016/09/013.
@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 ddimensions 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 masscentral mass density (Mρ{sub c}) relation and also the massradius (MR) 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 Mρ{sub c} (or MR) 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 = {10.1088/14757516/2016/09/013},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2016,
place = {United States},
year = 2016,
month = 9
}

Linear stability analysis and the speed of gravitational waves in dynamical ChernSimons modified gravity
We perform a linear stability analysis of dynamical ChernSimons modified gravity in the geometric optics approximation and find that it is linearly stable on the backgrounds considered. Our analysis also reveals that gravitational waves in the modified theory travel at the speed of light in Minkowski spacetime. However, on a Schwarzschild background the characteristic speed of propagation along a given direction splits into two modes, one subluminal and one superluminal. The width of the splitting depends on the azimuthal components of the propagation vector, is linearly proportional to the mass of the black hole, and decreases with the third inversemore »