广义混合度规-Palatini引力中处处服从物质零能条件的虫洞
Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
摘要：
本文给出了广义混合度规-Palatini物质理论中的虫洞解，它由引力拉格朗日量$f\left(R,\cal{R}\right)$和物质拉格朗日量给出，其中$R$是度规Ricci标量，$\mathcal{R}$是用独立联络定义的Palatini标量曲率。$φ$和$ψ$，并保持重力项$R$。在发现的解决方案的主要兴趣是，物质场遵守零能量条件（NEC）无处不在，包括喉和无限大，所以没有必要的外来物质。在喉部向外张开的虫洞几何由高阶曲率项支持，或者等价地，由两个基本的标量场支持，这两种方式都可以被解释为引力流体。因此，在这个理论中，在建造一个虫洞时，有可能用引力扇区的奇异性来交换物质的奇异性。显示的特定虫洞，从喉部到无穷大服从物质NEC，有三个区域，即包含喉部的内部区域，物质的薄壳和真空史瓦西反德西特（AdS）外部。对于混合度量Palatini物质理论，虫洞的解决方案是第一个NEC的问题是验证整个时空保持渐近控制下的解决方案。这种类型的解决方案的存在是符合的想法，即通过额外的基本引力场孔，这里伪装成标量场，可以找到没有外来物质。与此同时，为整个时空组合一个完整的虫洞解所需的某种编造的架构可能意味着，在这类理论中，这样的解是稀缺的。
英文摘要：
Wormhole solutions in a generalized hybrid metric-Palatini matter theory, given by a gravitational Lagrangian $f\left(R,\cal{R}\right)$, where $R$ is the metric Ricci scalar, and $\mathcal{R}$ is a Palatini scalar curvature defined in terms of an independent connection, and a matter Lagrangian, are found. The solutions are worked in the scalar-tensor representation of the theory, where the Palatini field is traded for two scalars, $φ$ and $ψ$, and the gravitational term $R$ is maintained. The main interest in the solutions found is that the matter field obeys the null energy condition (NEC) everywhere, including the throat and up to infinity, so that there is no need for exotic matter. The wormhole geometry with its flaring out at the throat is supported by the higher-order curvature terms, or equivalently, by the two fundamental scalar fields, which either way can be interpreted as a gravitational fluid. Thus, in this theory, in building a wormhole, it is possible to exchange the exoticity of matter by the exoticity of the gravitational sector. The specific wormhole displayed, built to obey the matter NEC from the throat to infinity, has three regions, namely, an interior region containing the throat, a thin shell of matter, and a vacuum Schwarzschild anti-de Sitter (AdS) exterior. For hybrid metric-Palatini matter theories this wormhole solution is the first where the NEC for the matter is verified for the entire spacetime keeping the solution under asymptotic control. The existence of this type of solutions is in line with the idea that traversable wormholes bore by additional fundamental gravitational fields, here disguised as scalar fields, can be found without exotic matter. Concomitantly, the somewhat concocted architecture needed to assemble a complete wormhole solution for the whole spacetime may imply that in this class of theories such solutions are scarce.
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。
