非保守单模引力中的虫洞重构：里奇标量作为独立规定的曲率轮廓
Wormhole Reconstruction in Non-Conservative Unimodular Gravity: Ricci Scalar as an Independently Prescribed Curvature Profile
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中文总结 AI 辅助
针对非保守单模引力，提出以里奇标量为独立曲率轮廓的虫洞重构框架，得到不同静态球对称虫洞解，明确曲率参数与指数对解的影响，为生成致密天体时空提供可行几何方案。
中文摘要 AI 辅助
非保守单模引力（$\boldsymbol{\rm NUG}$）中，里奇标量与能量-动量张量的迹之间不存在代数关系，这为从规定的曲率轮廓构建时空几何开辟了新可能。利用这一特性，我们开发了一种曲率重构框架，其中可穿越虫洞几何直接由规定的曲率轮廓生成，而非从物质 sector 或度规函数生成。针对幂律形式的里奇标量结合三种不同的红移函数，我们实现了该重构过程，得到了不同类别的静态球对称虫洞解。我们研究了这些解的几何性质、渐近行为和零能量条件。尽管径向零能量条件在喉处必然被违反，但我们表明无量纲曲率参数控制着支撑虫洞的奇异物质的强度，而曲率指数决定了重构时空的全局渐近结构。特别地，将渐近平直解与具有残余渐近形变的几何区分开的临界构型自然地从该重构方案中涌现。这些结果确立了从规定的里奇标量轮廓进行曲率重构，作为在非保守单模引力中生成致密天体时空的可行几何框架。
英文摘要
The absence of an algebraic relation between the Ricci scalar and the trace of the energy-momentum tensor in Non-Conservative Unimodular Gravity ($\mathrm{NUG}$) opens new possibilities for constructing spacetime geometries from prescribed curvature profiles. Exploiting this property, we develop a curvature reconstruction framework in which traversable wormhole geometries are generated directly from a prescribed curvature profile rather than from the matter sector or the metric functions. The reconstruction procedure is implemented for a power-law Ricci scalar combined with three different redshift functions, leading to distinct classes of static and spherically symmetric wormhole solutions. We investigate their geometrical properties, asymptotic behavior and null energy condition. Although the radial null energy condition remains necessarily violated at the throat, we show that the dimensionless curvature parameter controls the intensity of the exotic matter supporting the wormhole, while the curvature exponent determines the global asymptotic structure of the reconstructed spacetime. In particular, the critical configuration separating asymptotically flat solutions from geometries with residual asymptotic deformation naturally emerges from the reconstruction scheme. These results establish curvature reconstruction from prescribed Ricci scalar profiles as a viable geometrical framework for generating compact-object spacetimes within non-conservative unimodular gravity.
