论文标题

球形对称尘埃倒塌在矢量张量重力中

Spherical symmetric dust collapse in a Vector-Tensor gravity

论文作者

Dale, R., Sáez, D.

论文摘要

有一个可行的矢量张量重力(VTG)理论,其载体场产生了排斥力,从而产生重要影响。在背景宇宙中,这些力的效果是与真空能量(宇宙常数)相同的加速膨胀。在这里,我们证明了其中的另一种效果是出于足够大的崩溃质量而产生的,这导致了施瓦茨柴尔德黑洞和一般相对论(GR)的奇异性。对于这些质量,压力可以忽略不计,以抵抗重力吸引力,并且在GR的背景下无法停止完全崩溃。但是,在VTG中,强烈的重力排斥可以阻止壳向对称中心掉落。然后开发了一项对崩溃的尘埃云的研究,为了承担此任务,编写了共坐标中的VTG方程。从这个意义上讲,由于无压防尘球的总体相对论,发现了三种不同的解决方案。分析了这三个情况,并解决了壳体交叉的问题。还检查了明显的视野和被困的表面,其分析将导致各种情况,具体取决于某些理论特征参数值。

There is a viable vector-tensor gravity (VTG) theory, whose vector field produces repulsive forces leading to important effects. In the background universe, the effect of these forces is an accelerated expansion identical to that produced by vacuum energy (cosmological constant). Here, we prove that another of these effects arises for great enough collapsing masses which lead to Schwarzschild black holes and singularities in general relativity (GR). For these masses, pressure becomes negligible against gravitational attraction and the complete collapse cannot be stopped in the context of GR; however, in VTG, a strong gravitational repulsion could stop the falling of the shells towards the symmetry center. A certain study of a collapsing dust cloud is then developed and, in order to undertake this task, the VTG equations in comoving coordinates are written. In this sense and, as it happens in general relativity for a pressureless dust ball, three different solutions are found. These three situations are analyzed and the problem of the shell crossings is approached. The apparent horizons and trapped surfaces, whose analysis will lead to diverse situations, depending on certain theory characteristic parameter value, are also examined.

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