| 摘要: |
| f（R）引力是一个直接拓展广义相对论的修正引力理论，它的拉格朗日量是一个仅含曲率标量R的任意函数f（R）.在F（r）=1+αr的条件下（F（r）≡（df（R（r）））/（dr）和αr是一个对广义相对论小的修正量），导出了度规f（R）引力理论中场方程的精确球对称真空解.此外，考虑了这个黑洞背景时空中的标量场扰动.用六阶WKB （Wentzel-Kramers-Brillouin）方法，讨论了拟正则模和这个黑洞的参数之间的关系，得出这个黑洞是稳定的结论. |
| 关键词: 引力 黑洞解 六阶WKB方法 |
| DOI：10.3969/J.ISSN.1000-5137.2018.04.003 |
| 分类号:P142 |
| 基金项目:National Science Foundation of China Grant (11205102);Innovation Program of Shanghai Municipal Education Commission (12YZ089) |
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| A new f(R) black hole |
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Lyu Wendong, Xi Ping, Hu Qian
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College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| f(R) gravity is a straight extension of general relativity,in which the Lagrangian is an arbitrary function of the curvature scalar R.We derive an exact spherically symmetric vacuum solution to the field equations of the metric f(R) gravity with the condition F(r)=1+αr (F(r)≡(df(R(r)))/(dr) and the term αr indicates a minor correction to general relativity).Moreover,we consider the scalar perturbations on this black hole background spacetimes.Using the six-order WKB (Wentzel-Kramers-Brillouin) method,we discuss the relations between quasinormal modes of this black hole and its parameters which show that the black hole is stable. |
| Key words: f (R) gravity black hole solution the six-order WKB method |
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