Relativistic stars in 4D Einstein-Gauss-Bonnet gravity

Abstract

In the present paper we investigate the structure of relativistic stars in 4D Einstein-Gauss-Bonnet gravity. The mass-radius relations are obtained for realistic hadronic and for strange quark star equations of state, and for a wide range of the Gauss-Bonnet coupling parameter $\alpha$. Even though the deviations from general relativity for nonzero values of $\alpha$ can be large enough, they are still comparable with the variations due to different modern realistic equations of state if we restrict ourselves to moderate value of $\alpha$. That is why the current observations of the neutron star masses and radii alone can not impose stringent constraints on the value of the parameter $\alpha$. Nevertheless some rough constraints on $\alpha$ can be put. The existence of stable stellar mass black holes imposes $\sqrt{\alpha }\lesssim 2.6\mathrm{km}$ for $\alpha >0$ while the requirement that the maximum neutron star mass should be greater than two solar masses gives $\sqrt{|\alpha |}\lesssim 3.9\mathrm{km}$ for $\alpha <0$. We also present an exact solution describing the structure of relativistic stars with uniform energy density in 4D Einstein-Gauss-Bonnet gravity.

9 pages, 3 figures

References in corpus (17)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Black holes in the four-dimensional Einstein-Lovelock gravity
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Regularized Lovelock gravity

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