论文标题
将物理约束纳入Braneworld黑色弦纹溶液中的Minkowski Brane中的标量敏感性重力
Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
论文作者
论文摘要
在一般标量敏感理论的框架中，标量场与五维RICCI标量曲率无限耦合，我们研究了完整的Brane-world solutions的出现。通过假设耦合函数的各种形式，我们在批量中求解了场方程，并以分析方式确定在每种情况下的重力背景和标量场的形式。溶液始终以常规标量场，有限的能量量张量和指数衰减的扭曲因子为特征，即使没有负块状宇宙常数。 Schwarzschild解决方案描述了Brane上的时空，当质量参数$ M $非零时，或者当$ M = 0 $时，导致批量参数$ M $或常规的反DE Sitter时空时，会导致散装中的非均匀黑色弦弦解决方案。我们通过要求在我们的棕褐色上构建物理上可接受的溶液，该溶液是棕褐色的阳性有效重力常数，我们的brane的正能密度和散装弱能量条件的有效性。我们发现，尽管该理论不允许同时满足所有三个条件，但出现了很多解决方案，它满足了前两个，也是最基本的条件。
In the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of forms for the coupling function, we solve the field equations in the bulk, and determine in an analytic way the form of the gravitational background and scalar field in each case. The solutions are always characterized by a regular scalar field, a finite energy-momentum tensor, and an exponentially decaying warp factor even in the absence of a negative bulk cosmological constant. The space-time on the brane is described by the Schwarzschild solution leading to either a non-homogeneous black-string solution in the bulk, when the mass parameter $M$ is non-zero, or a regular anti-de Sitter space-time, when $M=0$. We construct physically-acceptable solutions by demanding in addition a positive effective gravitational constant on our brane, a positive total energy-density for our brane and the validity of the weak energy condition in the bulk. We find that, although the theory does not allow for all three conditions to be simultaneously satisfied, a plethora of solutions emerge which satisfy the first two, and most fundamental, conditions.
