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arXiv 2008.00536gr-qc
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$f(R) = R+ αR^2$引力中最强的约束:恒星稳定性

Strongest constraint in $f(R) = R+ αR^2$ gravity: stellar stability

Juan M. Z. Pretel, Sergio E. Jorás, Ribamar R. R. Reis

摘要:

在引力的$f(R)$理论的度规方法中,四阶场方程经常被改写为存在标准物质和曲率流体(它聚集了所有额外的项)的有效爱因斯坦方程,总是在约旦框架中。在这幅图中,我们研究了$f(R) = R+ αR^2$模型的强引力区。特别是,我们专注于由普通物质的混合物组成的致密恒星的稳定性-由多方状态方程描述-和在其他标准爱因斯坦引力中的有效曲率流体,因此我们能够应用通常的方程来控制相对论性恒星的径向绝热振荡。为了保证恒星的稳定性,我们对自由参数的新限制是$α\lesssim 2.4 \times 10^8\ \text{cm}^2$,比文献中以前的结果(仅基于质量-半径关系)限制了大约$100$倍。

英文摘要:

In the metric approach of $f(R)$ theories of gravity, the fourth-order field equations are often recast as effective Einstein equations in the presence of standard matter and a curvature fluid (which gathers all the extra terms), always in the Jordan frame. In this picture, we investigate the strong gravity regime of the $f(R) = R+ αR^2$ model. In particular, we focus on the stability of a compact star composed by a mixture of ordinary matter -- described by a polytropic equation of state -- and an effective curvature fluid in an otherwise standard Einstein gravity, so that we are able to apply the usual equations that govern the radial adiabatic oscillations of relativistic stars. Our new restriction on the free parameter is $α\lesssim 2.4 \times 10^8\ \text{cm}^2$ in order to guarantee stellar stability, about $100$ times more restrictive than previous results (based on mass-radius relations alone) in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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