标题： 基于普通和修正熵的$f(G)$引力与$(m,n)$型全息暗能量模型的重建 显示英文标题

标题： Reconstruction of $f(G)$ gravity with ordinary and entropy-corrected $(m,n)$ type Holographic dark energy model

摘要： 我们已经讨论了被广泛接受的$f(G)$引力理论与两种暗能量模型之间的对应关系：$(m,n)$型全息暗能量 [$(m,n)$型HDE] 和熵修正的$(m,n)$型全息暗能量。 为此，我们考虑了尺度因子的幂律形式$a(t)=a_{0}t^{p}, p>1$。 这些模型中的重构$f(G)$已被找到，并且在这两种情况下模型都被发现是现实的。 我们还讨论了这两种模型中的经典稳定性问题。 $(m,n)$型HDE及其熵修正版本比普通HDE模型更稳定。 显示英文摘要

摘要： We have discussed the correspondence of the well-accepted $f(G)$ gravity theory with two dark energy models : $(m,n)$-type holographic dark energy [$(m,n)$-type HDE] and entropy-corrected $(m,n)$-type holographic dark energy. For this purpose, we have considered the power law form of the scale factor $a(t)=a_{0}t^{p}, p>1$. The reconstructed $f(G)$ in these models have been found and the models in both cases are found to be realistic. We have also discussed the classical stability issues in both models. The $(m,n)$-type HDE and its entropy-corrected versions are more stable than the ordinary HDE model.