暗能量的全息标量场模型
Holographic Scalar Fields Models of Dark Energy
摘要:
通过建立全息/年龄能量密度和暗能量的标量场模型之间的联系,在文献中已经进行了许多理论上的尝试,以重建标量场的势和动力学。然而,在大多数情况下,由于所涉及的方程的复杂性,在标量场方面的电势的解析形式还没有被重建。本文以哈勃半径作为系统的红外截止,通过建立平坦FRW宇宙中全息能量密度与quintessence、tachyon、K-essence和k-esson能量密度之间的对应关系,重建了作为标量场函数的势的解析形式$V=V(ϕ)$和作为时间函数的标量场动力学的解析形式$ϕ=ϕ(t)$.重建的势是相当合理的,并具有标度解。我们的研究进一步支持了全息暗能量模型的可行性与哈勃半径作为红外截止。
英文摘要:
Many theoretical attempts toward reconstructing the potential and dynamics of the scalar fields have been done in the literature by establishing a connection between holographic/agegraphic energy density and a scalar field model of dark energy. However, in most of these cases the analytical form of the potentials in terms of the scalar field have not been reconstructed due to the complexity of the equations involved. In this paper, by taking Hubble radius as system's IR cutoff, we are able to reconstruct the analytical form of the potentials as a function of scalar field, namely $V=V(ϕ)$ as well as the dynamics of the scalar fields as a function of time, namely $ϕ=ϕ(t)$ by establishing the correspondence between holographic energy density and quintessence, tachyon, K-essence and dilaton energy density in a flat FRW universe. The reconstructed potentials are quite reasonable and have scaling solutions. Our study further supports the viability of the holographic dark energy model with Hubble radius as IR cutoff.
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