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arXiv 1209.2015gr-qc
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f(R)引力中存在虫孔的必要条件

Necessary conditions for having wormholes in f(R) gravity

S. Habib Mazharimousavi, M. Halilsoy

摘要:

对于一个通用的$f(R)$承认至少三阶多项式展开(即$\frac{d^{3}f}{dR^{3}}\neq 0$),我们发现近喉虫洞的解决方案。在这样的$f(R)$理论中虫洞存在的必要条件推导出零和非零物质源。一个特定的能量动量的选择表明,虫洞的几何形状满足弱能量条件(WEC)。对于一系列的参数,甚至强能量条件(SEC)被证明是满意的。

英文摘要:

For a generic $f(R)$ which admits a polynomial expansion of at least third order (i.e. $\frac{d^{3}f}{dR^{3}}\neq 0$) we find the near-throat wormhole solution. Necessary conditions for the existence of wormholes in such $f(R)$ theories are derived for both zero and non-zero matter sources. A particular choice of energy-momentum reveals that the wormhole geometry satisfies the weak energy condition (WEC). For a range of parameters even the strong energy condition (SEC) is shown to be satisfied.

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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