宇宙“常数”变化的Bianchi-Ⅰ型宇宙模型的解

EXACT SOLUTION FOR BIANCHI TYPE-ⅠCOSMOLOGICAL MODEL WITH VARYING COSMOLOGICAL TERM

在定域旋转对称的Bianchi-Ⅰ型时空中讨论了宇宙"常数"为变量的Einstein引力场方程的解.从能量动量守恒定律中包括真空的能量-动量T(vac)μν=-Λ(t)gμν的观点出发,得到了场方程的一个精确解,并对其相关的物理性质作了简要的讨论.这是一个较为普遍的解,它把文献中的结果作为特例包括在内.

Einstein equation with cosmological term Λ(t) varying with time is considered in the context of local rotational symmetry Bianchi type-Ⅰspatially homogeneous universe. From the point of view that the law of energy-momentum conservation involves the vacuum component T^((vac))_(μv)=-Λ(t)g_(μv), a solution is obtained and its physical features are briefly discussed. The solution includes theresult given previously in the literature as a special case.