{ "id": "1304.1871", "version": "v2", "published": "2013-04-06T09:58:15.000Z", "updated": "2013-04-12T02:50:06.000Z", "title": "Neutron stars in a perturbative $f(R)$ gravity model with strong magnetic fields", "authors": [ "Myung-Ki Cheoun", "Cemsinan Deliduman", "Can Güngör", "Vildan Keleş", "C. Y. Ryu", "Toshitaka Kajino", "Grant J. Mathews" ], "categories": [ "astro-ph.HE" ], "abstract": "We investigate the effect of a strong magnetic field on the structure of neutron stars in a model with perturbative $f(R)$ gravity. The effect of an interior strong magnetic field of about $10^{17 \\sim 18}$ G on the equation of state is derived in the context of a quantum hadrodynamics (QHD) model. We solve the modified spherically symmetric hydrostatic equilibrium equations derived for a gravity model with $f(R)=R+\\alpha R^2$. Effects of both the finite magnetic field and the modified gravity are detailed for various values of the magnetic field and the perturbation parameter $\\alpha$ along with a discussion of their physical implications. We show that there exists a parameter space of the modified gravity and the magnetic field strength, in which even a soft equation of state can accommodate a large ($> 2$ M$_\\odot$) maximum neutron star mass through the modified mass-radius relation.", "revisions": [ { "version": "v2", "updated": "2013-04-12T02:50:06.000Z" } ], "analyses": { "keywords": [ "neutron star", "gravity model", "symmetric hydrostatic equilibrium equations", "spherically symmetric hydrostatic equilibrium" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1475-7516/2013/10/021", "journal": "Journal of Cosmology and Astro-Particle Physics", "year": 2013, "month": "Oct", "volume": 2013, "number": 10, "pages": "021" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1227427, "adsabs": "2013JCAP...10..021C" } } }