论文标题
标量探望的重力理论的堆叠空间的波动般的空间均匀模型(2.1)
Wave-like spatially homogeneous models of Stackel spacetimes (2.1) type in the scalar-tensor theory of gravity
论文作者
论文摘要
在与宇宙的空间均匀波一样的重力理论中获得了六个精确的溶液。波浪状的时空模型允许存在特权坐标系统,在这些坐标系统中,可以通过将变量与各向同性(波)变量完全分离的方法来整合测试颗粒的二基型方程和测试颗粒方程,而空间指标取决于空间指数(无符号变量)。发现标量场的明确形式和标量场的两个函数是一般标量调整的重力理论的一部分。给出了在考虑模型中测试粒子的eikonal函数的明确形式。根据Bianchi的分类,获得的溶液是III型,根据Petrov的分类为N型。
Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like space-time models allow the existence of privileged coordinate systems where the eikonal equation and the Hamilton-Jacobi equation of test particles can be integrated by the method of complete separation of variables with the separation of isotropic (wave) variables on which the space metric depends (non-ignored variables). An explicit form of the scalar field and two functions of the scalar field that are part of the general scalar-tensor theory of gravity are found. The explicit form of the eikonal function and the action function for test particles in the considered models is given. The obtained solutions are of type III according to the classification Bianchi and type N according to the classification of Petrov.