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arXiv 0912.1722gr-qc
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标量-张量引力双参数解的选择准则

Selection criteria for two-parameter solutions to scalar-tensor gravity

Mustapha Azreg-Aïnou

摘要:

本文系统地研究了描述引力与非线性自引力实标量场最小耦合的场方程的静态、球对称、渐近平坦解的一般性质。证明了七个推论和一个关于双参数解和单参数解的选择准则的定理,并导出了获得类粒子解、黑洞或裸奇点的条件。给出了一系列描述不同黑洞、裸奇点和类粒子解的封闭形式的精确解。

英文摘要:

We make a systematic investigation of the generic properties of static, spherically symmetric, asymptotically flat solutions to the field equations describing gravity minimally coupled to a nonlinear self-gravitating real scalar field. Seven corollaries and a theorem on selection criteria for two- and one-parametric solutions are proven and conditions for obtaining particle-like solution, black holes or naked singularities are derived. A series of exact solutions in closed forms describing different black holes, naked singularities and particle-like solutions are provided.

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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