Existence of relativistic stars inf(R)gravity

• DOI: 10.1103/physrevd.80.064002
• Publication Date: 2009-09-01T12:19:07Z
• Authors: Amol Upadhye; Wayne Hu
• Keywords: Star (game theory)

We refute recent claims in the literature that stars with relativistically deep potentials cannot exist $f(R)$ gravity. Numerical examples of stable stars, including relativistic ($G{M}_{\ensuremath{\star}}/{r}_{\ensuremath{\star}}\ensuremath{\sim}0.1$), constant density are studied. As a star is made larger, nonlinear ``chameleon'' effects screen much star's mass, stabilizing gravity at stellar center. Furthermore, we show onset this chameleon screening unrelated to strong At large central pressures $P>\ensuremath{\rho}/3$, gravity, like general relativity, does have maximum gravitational potential, but slightly smaller value: $G{M}_{\ensuremath{\star}}/{r}_{\ensuremath{\star}}{|}_{\mathrm{max}}=0.345<4/9$ for and one choice parameters. This difference associated negative curvature $R$ under relativity not being accessed model, apply any known astrophysical object.