引力“常数”和宇宙“常数”为变量的FRW平坦模型解

FLAT FRW MODEL SOLUTION WITH VARYING GRAVITATIONAL AND COSMOLOGICAL "CONSTANTS

本文在引力"常数"G和宇宙"常数"Λ为变量,同时保持Einstein引力场方程形式不变的框架下,讨论了Friedman-Robertson-Walker(FRW)平坦模型的解.我们假设了一个状态方程p=(γ-1)ρ和宇宙常数与哈勃参数的关系Λ=3ηH2,得到了场方程的一个精确解.它描述的是一个减速系数为常数的连续膨胀的宇宙.在极端情况下η=0,这个解可以自动变为大家熟知的G是常数和Λ=0时的FRW平坦模型的解.

In this paper,we consider Einstein equation with varying gravitational coupling G and cosmological term Λ in flat Friedman-Robertson-Walker models. We assume a equation of state p=(γ-1)ρ and a relation Λ=3ηH2, and a solution of the field equations can then be obtained. In particular case η=0, the solution can reduce to the familiar flat FRW model with constant G and Λ=0.