2012
DOI: 10.1103/physrevd.86.083509
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Three thermodynamically based parametrizations of the deceleration parameter

Abstract: We propose, and constrain with the latest observational data, three model-independent parametrizations of the cosmic deceleration parameter q(z). They are well behaved and stay finite at all redshifts. We construct them by fixing the value of q at high redshift, q(z ≫ 1) = 1/2 (as demanded by cosmic structure formation), and at the far future, q(z = −1) = −1, and smoothly interpolating q(z) between them. The fixed point at z = −1 is not arbitrarily chosen; it readily follows from the second law of thermodynami… Show more

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Cited by 94 publications
(59 citation statements)
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“…Now, let us examine whether the universe with signchangeable interaction in the dark sectors will result to thermodynamic equilibrium. As it is discussed extensively in the literature (see for instance [120,121]), in order for this to be achieved one needs to have a total entropy whose first derivative is positive, while at late times its second derivative should be negative [122], and thus the entropy asymptotically tends towards a constant value. Using x = ln a as the independent variable the above require that S ≥ 0 and S < 0, where S = S r + S b + S c + S x + S h , with primes denoting differentiation with respect to x.…”
Section: Laws Of Thermodynamics In Sign-changeable Interaction Momentioning
confidence: 99%
“…Now, let us examine whether the universe with signchangeable interaction in the dark sectors will result to thermodynamic equilibrium. As it is discussed extensively in the literature (see for instance [120,121]), in order for this to be achieved one needs to have a total entropy whose first derivative is positive, while at late times its second derivative should be negative [122], and thus the entropy asymptotically tends towards a constant value. Using x = ln a as the independent variable the above require that S ≥ 0 and S < 0, where S = S r + S b + S c + S x + S h , with primes denoting differentiation with respect to x.…”
Section: Laws Of Thermodynamics In Sign-changeable Interaction Momentioning
confidence: 99%
“…There are several parameterizations for q(z) reported in the literature, see refs. [17][18][19][20][21][22][23][25][26][27][28][29][30]. We propose a new one as follows where, q 0 and q 1 are the values for the deceleration parameter at the present epoch, and at high redshift, respectively.…”
Section: Proposed Parameterization For the Deceleration Parametermentioning
confidence: 99%
“…By probing the cosmographic parameters using cosmological data, it is possible to associate them to a given dynamical DE entity and reconstruct its features as well as the Universe dynamics. In this vein, several authors have proposed a number of functions to parameterize the deceleration parameter q(z) (see for example [17][18][19][20][21][22] for recent studies) and reconstructed the features of any kind of dark energy.…”
Section: Introductionmentioning
confidence: 99%
“…However, in the literature other approaches suggest different points of views, motivated by physical requirements, different from assuming the above radius r u . In particular, one can imagine to have r u ∝ H −1 [33][34][35]. In general such a choice would reproduce a causal region different from the sphere ∝ a 3 , albeit at small redshift regime, i.e., z 1, one can continue to approximate the volume with the simplest choice of V ∝ a 3 .…”
Section: The Volume and Its Evolution In Terms Of The Redshiftmentioning
confidence: 99%