scholarly journals An effective cosmological constant from an entropic formulation of gravity

2020 ◽  
Vol 29 (09) ◽  
pp. 2050064
Author(s):  
I. Díaz-Saldaña ◽  
J. C. López-Domínguez ◽  
M. Sabido
Keyword(s):  
Cosmological Constant ◽  
Apparent Horizon ◽  
Friedmann Equation ◽  
Scale Factor ◽  
Late Time ◽  
Frw Universe ◽  
Equation Solving ◽  
Effective Cosmological Constant ◽  
Time Regime ◽  
Modified Entropy

In this work, we study a Friedmann–Robertson–Walker (FRW) universe derived from a modified entropy–area relationship. By applying the first law of thermodynamics to the so-called apparent horizon and a modified entropy–area relationship, we obtain a modified Friedmann equation. Solving this model for a perfect fluid with vanishing cosmological constant, we find that for early times, the scale factor is the same as that of an FRW universe. In the late-time regime, although the cosmological constant is zero, the asymptotic behavior of the scale factor is exponential, and therefore, we can identify an effective cosmological constant. The origin of the effective cosmological constant can be traced to the modifications of the entropy–area relation.

scholarly journals REQUIRED CONDITIONS FOR LATE TIME ACCELERATION AND EARLY TIME DECELERATION IN GENERALIZED SCALAR–TENSOR THEORIES

2003 ◽  
Vol 18 (04) ◽  
pp. 651-671 ◽  
Author(s):  
L. M. DIAZ-RIVERA ◽  
LUIS O. PIMENTEL
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Cosmological Parameters ◽  
Early Time ◽  
Weak Field ◽  
Scale Factor ◽  
Coupling Function ◽  
Accelerated Expansion ◽  
Late Time ◽  
Cosmological Constants

We consider a generalized scalar–tensor theory, where we let the coupling function ω(ϕ) and the effective cosmological constants Λ(ϕ) be undetermined. We obtain general expressions for ω(ϕ) and Λ(ϕ) in terms of the scalar field and the scale factor, and show that ω(ϕ) depends on the scalar field and the scale factor in a complicated way. In order to study the conditions for an accelerated expansion at the present time and a decelerated expansion in the past, we assume a power law evolution for the scalar field and the scale factor. We analyze the required conditions that allow our model to satisfy the weak field limits on ω(ϕ), and at the same time, to obtain the correct values of cosmological parameters, as the energy density Ωm0 and cosmological constant Λ(t0). We also study the conditions for a decelerated expansion at an early time dominated by radiation. We find values for ω(ϕ) and Λ(ϕ) consistent with the expectations of a where the cosmological constant decreases with the time and the coupling function increases until the values are accepted today.

scholarly journals THE FRIEDMANN EQUATION IN MODIFIED ENTROPY-AREA RELATION FROM ENTROPY FORCE

2011 ◽  
Vol 26 (07) ◽  
pp. 489-500 ◽  
Author(s):  
BIN LIU ◽  
YUN-CHUAN DAI ◽  
XIAN-RU HU ◽  
JIAN-BO DENG
Keyword(s):  
Friedmann Equation ◽  
Debye Model ◽  
Holographic Principle ◽  
Spherically Symmetric ◽  
Frw Universe ◽  
Holographic Screen ◽  
Newton’S Laws ◽  
Correction Terms ◽  
Entropy Corrections ◽  
Modified Entropy

According to the formal holographic principle, a modification to the assumption of holographic principle in Verlinder's investigation of entropy force is obtained. A more precise relation between entropy and area in the holographic system is proposed. With the entropy corrections to the area-relation, we derivate Newton's laws and Einstein equation with a static spherically symmetric holographic screen. Furthermore, we derived the correction terms to the modified Friedmann equation of the FRW universe starting from the holographic principle and the Debye model.

scholarly journals DARK ENERGY AS A RELIC OF THE VACUUM-ENERGY CANCELLATION?

2008 ◽  
Vol 17 (01) ◽  
pp. 111-133
Author(s):  
ORCHIDEA MARIA LECIAN ◽  
GIOVANNI MONTANI
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Gravitational Interaction ◽  
Friedmann Equation ◽  
Vacuum Energy Density ◽  
De Sitter ◽  
Frw Universe ◽  
First Case ◽  
Present Universe

We analyze the dynamical implications of an exponential Lagrangian density for the gravitational field, as referred to an isotropic FRW Universe. Then, we discuss the features of the generalized de Sitter phase, predicted by the new Friedmann equation. The existence of a consistent de Sitter solution arises only if the ratio between the vacuum energy density and that associated with the fundamental length of the theory acquires a tantalizing negative character. This choice allows us to explain the present Universe dark energy as a relic of the vacuum-energy cancellation due to the cosmological constant intrinsically contained in our scheme. The corresponding scalar-tensor description of the model is addressed too, and the behavior of the scalar field is analyzed for both negative and positive values of the cosmological term. In the first case, the Friedmann equation is studied both in vacuum and in the presence of external matter, while, in the second case, the quantum regime is approached in the framework of "repulsive" properties of the gravitational interaction, as described in recent issues in loop quantum cosmology. In particular, in the vacuum case, we find a pure non-Einsteinian effect, according to which a negative cosmological constant provides an accelerating de Sitter dynamics, in the region where the series expansion of the exponential term does not hold.

Entropy and thermodynamics of ghost dark energy

2014 ◽  
Vol 92 (6) ◽  
pp. 529-532 ◽  
Author(s):  
Ahmad Sheykhi
Keyword(s):  
Dark Energy ◽  
Friedmann Equation ◽  
Additional Term ◽  
Second Law Of Thermodynamics ◽  
Late Time ◽  
Frw Universe ◽  
Ghost Dark Energy ◽  
Generalized Second Law ◽  
System A ◽  
Hubble Horizon

We study the thermodynamics of the ghost model of dark energy in a flat Friedmann–Robertson–Walker (FRW) universe enveloped by a Hubble horizon. We show that the Friedmann equation of the FRW universe, in the presence of ghost dark energy, can be transformed to the first law of thermodynamics on the Hubble horizon. Using this procedure, we extract the entropy expression associated with the horizon in this model. We find that the area relation for the entropy expression is modified and an additional term that is proportional to the volume of the system, A3/2, appears in the entropy relation. We also find that for late time, where the temperature of the Universe scales as the temperature of its horizon, T = bTin, the generalized second law of thermodynamics can be secured provided 1/2 ≤ b ≤ 1, where T and Tin are the horizon and the matter fields’ temperatures, respectively.

Thermodynamics of the FRW universe in rainbow gravity

2017 ◽  
Vol 26 (13) ◽  
pp. 1750139 ◽  
Author(s):  
Akram Sadat Sefiedgar ◽  
Majid Daghigh
Keyword(s):  
High Energy Physics ◽  
Apparent Horizon ◽  
Friedmann Equation ◽  
High Energy ◽  
Suitable Model ◽  
Frw Universe ◽  
Thermodynamical Properties ◽  
Generalized Second Law ◽  
Friedmann Robertson Walker ◽  
Energy Physics

Rainbow gravity can be a suitable model to study the Friedmann–Robertson–Walker (FRW) universe in the realm of high energy physics. In rainbow gravity the radius of the apparent horizon is modified and it is used to derive the surface gravity and the temperature on the horizon. Inspired by the modified Friedmann equation in rainbow gravity and adopting the viewpoint that there is a deep connection between Friedmann equation and the first law of thermodynamics, the entropy on the horizon is obtained. It is interesting to be noted that the thermodynamical properties of the FRW universe depend on the energy of the probe, which is used by an observer to investigate the spacetime. Finally, it is shown that the validity of the generalized second law (GSL) of thermodynamics can be considered as a useful instrument to restrict the choice of rainbow gravity functions.

scholarly journals Dynamical symmetry breaking and negative cosmological constant

2019 ◽  
Vol 34 (24) ◽  
pp. 1950136 ◽  
Author(s):  
Wei Lu
Keyword(s):  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Hubble Parameter ◽  
Friedmann Equation ◽  
Dynamical Symmetry ◽  
Boson Mass ◽  
Minor Role ◽  
Late Time ◽  
Dynamical Symmetry Breaking ◽  
Negative Cosmological Constant

In the context of Clifford functional integral formalism, we revisit the Nambu–Jona-Lasinio-type dynamical symmetry breaking model and examine the properties of the dynamically generated composite bosons. Given that the model with 4-fermion interactions is nonrenormalizable in the traditional sense, the aim is to gain insight into the divergent integrals without resorting to explicit regularization. We impose a restriction on the linearly divergent primitive integrals, thus resolving the long-standing issue of momentum routing ambiguity associated with fermion–antifermion condensations. The removal of the ambiguity paves the way for the possible calculation of the true ratio of Higgs boson mass to top quark mass in the top condensation model. In this paper, we also investigate the negative vacuum energy resulted from dynamical symmetry breaking and its cosmological implications. In the framework of modified Einstein–Cartan gravity, it is demonstrated that the late-time acceleration is driven by a novel way of embedding the Hubble parameter into the Friedmann equation via an interpolation function, whereas the dynamically generated negative cosmological constant only plays a minor role for the current epoch. Two cosmic scenarios are proposed, with one of which suggesting that the universe may have been evolving from an everlasting coasting state towards the accelerating era characterized by the deceleration parameter approaching −0.5 at low redshift. One inevitable outcome of the modified Friedmannian cosmology is that the directly measured local Hubble parameter should in general be larger than the Hubble parameter calibrated from the conventional Friedmann equation. This Hubble tension becomes more pronounced when the Hubble parameter is comparable or less than a characteristic Hubble scale.

The possibility of a stable flat dark energy-dominated Swiss-cheese brane-world universe

2020 ◽  
Vol 17 (05) ◽  
pp. 2050075
Author(s):  
Nasr Ahmed ◽  
Kazuharu Bamba ◽  
F. Salama
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Cosmological Models ◽  
Brane World ◽  
Fine Tuning ◽  
Energy Conditions ◽  
Late Time ◽  
Swiss Cheese ◽  
Black Strings ◽  
The Stability

In this paper, we study the possibility of obtaining a stable flat dark energy-dominated universe in a good agreement with observations in the framework of Swiss-cheese brane-world cosmology. Two different brane-world cosmologies with black strings have been introduced for any cosmological constant [Formula: see text] using two empirical forms of the scale factor. In both models, we have performed a fine-tuning between the brane tension and the cosmological constant so that the Equation of state (EoS) parameter [Formula: see text] for the current epoch, where the redshift [Formula: see text]. We then used these fine–tuned values to calculate and plot all parameters and energy conditions. The deceleration–acceleration cosmic transition is allowed in both models, and the jerk parameter [Formula: see text] at late-times. Both solutions predict a future dark energy-dominated universe in which [Formula: see text] with no crossing to the phantom divide line. While the pressure in the first solution is always negative, the second solution predicts a better behavior of cosmic pressure where the pressure is negative only in the late-time accelerating era but positive in the early-time decelerating era. Such a positive-to-negative transition in the evolution of pressure helps to explain the cosmic deceleration–acceleration transition. Since black strings have been proved to be unstable by some authors, this instability can actually reflect doubts on the stability of cosmological models with black strings (Swiss-cheese type brane-worlds cosmological models). For this reason, we have carefully investigated the stability through energy conditions and sound speed. Because of the presence of quadratic energy terms in Swiss-cheese type brane-world cosmology, we have tested the new nonlinear energy conditions in addition to the classical energy conditions. We have also found that a negative tension brane is not allowed in both models of the current work as the energy density will no longer be well defined.

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