CMB power spectrum in the emergent universe with k-essence

Abstract

The emergent universe provides a possible method to avoid the big bang singularity by considering that the universe stems from an stable Einstein static universe rather than the singularity. Since the Einstein static universe exists before inflation, it may leave some relics in the CMB power spectrum. In this paper, we analyze the stability condition for the Einstein static universe in general relativity with k-essence against both the scalar and tensor perturbations. And we find the emergent universe can be successfully realized by constructing a scalar potential and an equation of state parameter. Solving the curved Mukhanov-Sasaki equation, we obtain the analytical approximation for the primordial power spectrum, and then depict the TT-spectrum of the emergent universe. The results show that both the primordial power spectrum and CMB TT-spectrum are suppressed on large scales.

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Cited by in corpus (6)

• Emergent Universe Model from Modified Heisenberg Algebra
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Cosmological Singularities in Brane Gravity
• Constant-roll inflation and primordial black holes within Barrow entropic framework
• Geometric formulation of $k$-essence and late-time acceleration