Cosmology of the Lifshitz universe

By Gianluca Calcagni. 2009

350 citations recorded by the source corpus.

We study the ultraviolet complete non-relativistic theory recently proposed by Hořava. After introducing a Lifshitz scalar for a general background, we analyze the cosmology of the model in Lorentzian and Euclidean signature. Vacuum solutions are found and it is argued the existence of non-singular bouncing profiles. We find a general qualitative agreement with both the picture of Causal Dynamical Triangulations and Quantum Einstein Gravity. However, inflation driven by a Lifshitz scalar field on a classical background might not produce a scale-invariant spectrum when the principle of detailed balance is assumed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/930d03d957c4520d6aa4820dde73ee45b7d9e02a

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Citations in the corpus

Exploring bouncing cosmologies with cosmological surveys (2014, background): “• (ii) p→ −∞ in the first case, which can be achieved in island cosmology[92, 93]; • (iii) α = 2 in the first case, which can be obtained in the model of Hořva-Lifshitz cosmology[56, 57];”
Quantum field theory, gravity and cosmology in a fractal universe (2010, background): “(1)HL gravity with detailed balance possesses a natural fractal structure also because of the appearance of fractional pseudo-differential operators [13, 14].”
Matter bounce in Horava-Lifshitz cosmology (2009, background): “In [6] it was emphasized that if the wavelength of fluctuations penetrates the UV region, then the usual arguments for the origin of a scale-invariant spectrum of cosmological perturbations from an inflationary phase might break down, as suggested more generally in the context of the “trans-Planckia”
Modified Gravity and Cosmology (2011, background): “Aspects of Hořava-Lifschitz cosmology HL gravity was first applied to cosmology in [698, 235].”
Phenomenological aspects of Hořava–Lifshitz cosmology (2009, methodology): “For example, cosmology based on Hořava-Lifshitz gravity was investigated in [2, 3, 4, 5, 6, 7, 8, 9, 10].”
Field theory at a Lifshitz point (2009, background): “Since Horava gravity has a very nice UV behavior, it has been applied to investigate the physics in the early universe in [5, 6, 7, 8, 9, 10, 11].”
A dynamical inconsistency of Horava gravity (2009, background): “Similarly, if the spatial sections are of constant curvature and the extrinsic curvature is a (time-dependent) multiple of the metric, as it is relevant for cosmological models [17, 18, 19], the covariant derivatives of the spatial Riemann tensor and of the extrinsic curvature vanish so that G(x, y)”
Horava-Lifshitz Cosmology (2009, background): “We seem to agree with [25] on the regions of overlap.”
Scale-invariant cosmological perturbations from Hořava-Lifshitz gravity without inflation (2009, background): “[2, 3, 4] also discuss cosmological perturbations.”