Barrow John D, Paliathanasis Andronikos
1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Rd., Cambridge, CB3 0WA UK.
2Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile.
Eur Phys J C Part Fields. 2018;78(9):767. doi: 10.1140/epjc/s10052-018-6245-7. Epub 2018 Sep 24.
We consider the existence of an "inflaton" described by an homogeneous scalar field in the Szekeres cosmological metric. The gravitational field equations are reduced to two families of solutions which describe the homogeneous Kantowski-Sachs spacetime and an inhomogeneous FLRW(-like) spacetime with spatial curvature a constant. The main differences with the original Szekeres spacetimes containing only pressure-free matter are discussed. We investigate the stability of the two families of solution by studying the critical points of the field equations. We find that there exist stable solutions which describe accelerating spatially-flat FLRW geometries.
我们考虑在Szekeres宇宙学度规中由均匀标量场描述的“暴胀子”的存在。引力场方程简化为两类解，它们分别描述均匀的Kantowski-Sachs时空和具有恒定空间曲率的非均匀FLRW（类）时空。讨论了与仅包含无压物质的原始Szekeres时空的主要差异。我们通过研究场方程的临界点来研究这两类解的稳定性。我们发现存在描述空间平坦的加速FLRW几何的稳定解。
