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arXiv 1807.07941gr-qchep-th
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Born-Infeld引力中含有非奇异物质的虫洞

Wormholes with nonexotic matter in Born-Infeld gravity

Rajibul Shaikh

摘要:

通过建立零收敛条件和零能量条件之间的关系,我们证明了与广义相对论不同,在Eddington启发的Born-Infeld引力(EiBI)中,零收敛条件的违反并不必然导致零能量条件的违反.这是一个动机,寻找虫洞的解决方案,可以支持在这个引力理论的非奇异物质。然后,我们得到的EiBI引力耦合到任意非线性电动力学和各向异性流体的场方程的精确解。根据不同参数的符号和值,通解可以同时表示黑洞和虫洞。在这项工作中,我们分析虫洞的解决方案。这些虫洞由非奇异物质支撑,即,满足所有能量条件的物质。作为我们的一般解决方案的特殊情况下,我们制定了几个具体的例子,考虑麦克斯韦,幂律,Born-Infeld电动力学模型和一个特殊形式的各向异性流体。

英文摘要:

We show that, in contrast to general relativity, in Eddington-inspired Born-Infeld gravity (EiBI), a violation of the null convergence condition does not necessarily lead to a violation of the null energy condition, by establishing a relationship between them. This serves as a motivation for finding wormhole solutions which can be supported by nonexotic matter in this gravity theory. We then obtain exact solutions of the field equations in EiBI gravity coupled to arbitrary nonlinear electrodynamics and anisotropic fluids. Depending on the signs and values of different parameters, the general solutions can represent both black holes and wormholes. In this work, we analyze the wormhole solutions. These wormholes are supported by nonexotic matter, i.e., matter satisfying all the energy conditions. As special cases of our general solutions, we work out several specific examples by considering Maxwell, power-law, Born-Infeld electrodynamics models and a particular form of an anisotropic fluid.

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