论文标题
由行动依赖性拉格朗日理论引起的虫洞几何形状
Wormhole geometries induced by action-dependent Lagrangian theories
论文作者
论文摘要
在这项工作中，我们在最近提出的由非保守性引力理论引起的重力理论中探索了虫洞的几何形状，暂时表示依赖于动作的Lagrangian理论。 The generalized gravitational field equation essentially depends on a background four-vector $λ^μ$, that plays the role of a coupling parameter associated with the dependence of the gravitational Lagrangian upon the action, and may generically depend on the spacetime coordinates.考虑虫洞配置，通过使用“ buchdahl坐标”，我们发现四矢量由$λ_μ= \ weft（0,0,0，λ_θ，0 \右）$给出，并且时空几何形状严重限制了条件$ g_ {tt} g_ {tt} g_ {tt} g_ {tt} g_ {UU {UU} $ $ $ $ $ $ $，我们通过概括Ellis-Bronnikov Solutions和最近提出的黑色弹跳几何形状等，发现了多种特定渐近，对称和不对称的特定平坦，对称和不对称的解决方案。我们表明，这些紧凑的物体具有比它们的一般相对论对应物更丰富的几何结构。
In this work, we explore wormhole geometries in a recently proposed modified gravity theory arising from a non-conservative gravitational theory, tentatively denoted action-dependent Lagrangian theories. The generalized gravitational field equation essentially depends on a background four-vector $λ^μ$, that plays the role of a coupling parameter associated with the dependence of the gravitational Lagrangian upon the action, and may generically depend on the spacetime coordinates. Considering wormhole configurations, by using "Buchdahl coordinates", we find that the four-vector is given by $λ_μ=\left(0,0,λ_θ,0\right)$, and that the spacetime geometry is severely restricted by the condition $g_{tt}g_{uu}=-1$, where $u$ is the radial coordinate. We find a plethora of specific asymptotically flat, symmetric and asymmetric, solutions with power law choices for the function $λ$, by generalizing the Ellis-Bronnikov solutions and the recently proposed black bounce geometries, amongst others. We show that these compact objects possess a far richer geometrical structure than their general relativistic counterparts.
