论文标题

$ f(r)$重力与各向异性暗物质的广义埃利斯 - 布罗尼科夫(Ellis-Bronikov)

Generalized Ellis-Bronikov traversable wormholes in $f(R)$ gravity with anisotropic dark matter

论文作者

R, C., Muniz, Maluf, R. V.

论文摘要

本文研究了$ f(r)$扩展重力中的广义Ellis-Bronikov(E-B)可穿越的虫洞。我们假设这些虫洞是根据最常用的现象学模型(即navarro-frenk-white(NFW),Thomas-Fermi(t-f)和Pseudo-Ishotermal(PI)的不同现象学模型,由各向异性暗物质(DM)支持。最初,我们在静态和球形对称的莫里斯 - thorne时空中的$ f(r)$理论的一般情况下获得场方程。然后,我们专门针对带有幂律的$ F(R)$模型,包括Starobinky修饰的重力。随后,我们分析了不依赖于DM模型(NULL和弱的能量条件-NEC和WEC)的能量条件以及模型依赖性的(强和主导的能量条件SEC和DEC)。最后,我们比较了某些E-B虫孔解决方案和上述DM模型,讨论了在不同情况下虫洞销事物系统的可行性。

This paper studies generalized Ellis-Bronikov (E-B) traversable wormholes in $f(R)$ extended gravity. We assume that these wormholes are supported by anisotropic dark matter (DM) according to the most often used phenomenological models, namely those of Navarro-Frenk-White (NFW), Thomas-Fermi (T-F), and Pseudo-isothermal (PI). Initially, we obtain the field equations in a general scenario of $f(R)$ theories in the metric formalism for the static and spherically symmetric Morris-Thorne spacetime. Then we particularize to a $f(R)$ model with power-law, including the Starobinky modified gravity. Following, we analyze the energy conditions which are not dependent on the DM models (Null and Weak Energy Conditions -- NEC and WEC) and those which are model-dependent (Strong and Dominant Energy Conditions SEC and DEC). Finally, we compare some E-B wormhole solutions and the mentioned DM models, discussing the feasibility of the wormhole-dark matter system in different scenarios.

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