$R+\varepsilon/R$引力的球对称修正解
Revised spherically symmetric solutions of $R+\varepsilon/R$ gravity
摘要:
研究了$f(R)$引力场的$R+\varepsilon/R$模型的球对称静态空区解。我们证明了Schwarzschild度规是所得到的场方程的精确解,从而存在扰动的Schwarzschild度规的通解,并且对太阳系是可行的.我们的大尺度结果包含一个对数项,其系数产生排斥引力,这与宇宙的正加速度一致。
英文摘要:
We study spherically symmetric static empty space solutions in $R+\varepsilon/R$ model of $f(R)$ gravity. We show that the Schwarzschild metric is an exact solution of the resulted field equations and consequently there are general solutions which {are perturbed Schwarzschild metric and viable for solar system. Our results for large scale contains a logarithmic term with a coefficient producing a repulsive gravity force which is in agreement with the positive acceleration of the universe.
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