Spherically symmetric configuration in f (Q) gravity

被引：186

作者：

Lin, Rui-Hui ^{[1
]}

Zhai, Xiang-Hua ^{[1
]}

机构：

[1] Shanghai Normal Univ, Div Math & Theoret Phys, 100 Guilin Rd, Shanghai 200234, Peoples R China

来源：

PHYSICAL REVIEW D | 2021年 / 103卷 / 12期

基金：

美国国家科学基金会;

关键词：

F(R) THEORIES; TELEPARALLEL; COSMOLOGY;

D O I：

10.1103/PhysRevD.103.124001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

General relativity can be formulated equivalently with a non-Riemannian geometry that associates with an affine connection of nonzero nonmetricity Q but vanishing curvature R and torsion T. Modification based on this description of gravity generates the f(Q) gravity. In this work, we explore the application of f(Q) gravity to the spherically symmetric configurations. We discuss the gauge fixing and connections in this setting. We demonstrate the effects of f(Q) by considering the external and internal solutions of compact stars. The external background solutions for any regular form of f(Q) coincide with the corresponding solutions in general relativity, i.e., the Schwarzschild-de Sitter solution and the Reissner-Nordstrom-de Sitter solution with an electromagnetic field. For internal structure, with a simple model f(Q) = Q + alpha Q(2) and a polytropic equation of state, we find that a negative modification (alpha < 0) provides support to more stellar masses while a positive one (alpha > 0) reduces the amount of matter of the star.

引用

页数：10

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