Cosmographic Hubble fits to the supernova data

Cattoën, Céline; Visser, Matt

doi:10.1103/physrevd.78.063501

Cited by 122 publications

(174 citation statements)

References 35 publications

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“…Those results are compatible with the ΛCDM paradigm [109][110][111][112][113][114][115][116] and correspond to a barotropic factor inside the interval: = −1.0820…”

Section: Late-time Evolutionsupporting

confidence: 75%

A Thermodynamic Approach to Holographic Dark Energy

Luongo

2017

Advances in High Energy Physics

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We propose a method to relate the holographic minimal information density to de Broglie's wavelength at a given universe temperature . To figure this out, we assume that the thermal length of massive and massless constituents represents the cutoff scale of the holographic principle. To perform our analysis, we suppose two plausible universe volumes, that is, the adiabatic and the horizon volumes, that is, ∝ 3 and ∝ −3 , respectively, assuming zero spatial curvature. With these choices in mind, we evaluate the thermal lengths for massive and massless particles and we thus find two cosmological models associated with late and early cosmological epochs. We demonstrate that both models depend upon a free term which enters the temperature parametrization in terms of the redshift . For the two treatments, we show evolving dark energy terms which can be compared with the CDM quintessence paradigm when the barotropic factor takes the formal values 0 = −(1/3)(2 + ) and 0 = −(1/3)(1 + 2 ), respectively, for late and early eras. From our analyses, we nominate the two models as viable alternatives to dark energy determined from thermodynamics in the field of the holographic principle.

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“…Those results are compatible with the ΛCDM paradigm [109][110][111][112][113][114][115][116] and correspond to a barotropic factor inside the interval: = −1.0820…”

Section: Late-time Evolutionsupporting

confidence: 75%

A Thermodynamic Approach to Holographic Dark Energy

Luongo

2017

Advances in High Energy Physics

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“…However, we should recall that jerk parameter is determined to be a constant j ΛCDM = 1 in ΛCDM, and hence doesn't involve error, while it is function of time with two free parameters α and β in the HEL model. We additionally note that jerk parameter involves the third time derivative of the scale factor, and consequently it is constrained observationally rather weakly [56,57,58,59,60,61,62]. Hence, we are not able to decide which model describes the expansion of the Universe well considering the jerk parameter.…”

Section: Observational Constraints On Hel Cosmology From H(z)+sn Ia Datamentioning

confidence: 99%

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

Akarsu

Kumar

Myrzakulov

et al. 2014

J. Cosmol. Astropart. Phys.

161

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Abstract. In this paper, we consider a simple form of expansion history of Universe referred to as the hybrid expansion law − a product of power-law and exponential type of functions. The ansatz by construction mimics the power-law and de Sitter cosmologies as special cases but also provides an elegant description of the transition from deceleration to cosmic acceleration. We point out the Brans-Dicke realization of the cosmic history under consideration. We construct potentials for quintessence, phantom and tachyon fields, which can give rise to the hybrid expansion law in general relativity. We investigate observational constraints on the model with hybrid expansion law applied to late time acceleration as well as to early Universe a la nucleosynthesis.

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“…Initially, the SNIa data were used to fit with the cosmography [13,14]. Then some auxiliary data sets [15] were also considered.…”

Section: Introductionmentioning

confidence: 99%

What do we know about cosmography

Zhang

Xia

2017

Eur. Phys. J. C

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In the present paper, we investigate the cosmographic problem using the bias-variance trade-off. We find that both the z-redshift and the y = z/(1 + z)-redshift can present a small bias estimation. It means that the cosmography can describe the supernova data more accurately. Minimizing risk, it suggests that cosmography up to the second order is the best approximation. Forecasting the constraint from future measurements, we find that future supernova and redshift drift can significantly improve the constraint, thus having the potential to solve the cosmographic problem. We also exploit the values of cosmography on the deceleration parameter and equation of state of dark energy w(z). We find that supernova cosmography cannot give stable estimations on them. However, much useful information was obtained, such as that the cosmography favors a complicated dark energy with varying w(z), and the derivative dw/dz < 0 for low redshift. The cosmography is helpful to model the dark energy.

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Cosmographic Hubble fits to the supernova data

Cited by 122 publications

References 35 publications

A Thermodynamic Approach to Holographic Dark Energy

A Thermodynamic Approach to Holographic Dark Energy

Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints

What do we know about cosmography

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