Thermodynamics and energy condition analysis for Van-Der-Waals EOS without viscous cosmology

Kar, Alokananda; Sadhukhan, Shouvik; Chattopadhyay, Surajit

doi:10.1088/1402-4896/ac2f00

Cited by 6 publications

(6 citation statements)

References 59 publications

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“…So, the effective energy momentum tensor part can be written as follows. [13,[27][28][29][30][31][32][33][34] 𝑇 𝜇𝜈 𝑒𝑓𝑓 = (𝜌 𝑚 + 𝜌 𝑓 + 𝑝 𝑚 + 𝑝 𝑓 )𝑢 𝜇 𝑢 𝜈 − 𝑔 𝜇𝜈 (𝑝 𝑚 + 𝑝 𝑓 )…”

Section: General Basic Calculations On Modified Gravitymentioning

confidence: 99%

Multiple fluid theory of cosmic evolution and its thermodynamic analysis

2022

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In this paper we have discussed the modified gravity and scalar field DE model specifically DBI essence model with the analysis of thermodynamics during cosmological evolution. We have used the modified gravity with the form 𝑓(𝑅, 𝑇) = 𝑅 + 2𝜆𝑇 in our calculations. The basic aim behind this paper is to discuss a theory that unifies modified gravity with DE models including the solutions of some cosmological problems like thermodynamics energy conditions violation problems, finite time future singularity problems, initial singularity problem, Cosmic inflation problem, decelerated expansion problem, graceful exit problem, reheating problem, bouncing nature problem, phase transformation-spontaneous symmetry breaking problem, negative heat capacity paradox problem and obviously the present day universe problems (Continuously decreasing temperature problem, present day DE dominated expansion problem). We have established the viscous effects (both positive and negative viscosity) in our calculation and discussed the negative-positive viscosity by introducing two special type of energy cycles. Finally, we have discussed the stability conditions for universe evolution through cosmic perturbation and resolved the instability problems. We have also shown the state finder trajectories for both with and without viscous fluid on the basis of our calculations to compare our research with the results of other independent DE models.

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Section: General Basic Calculations On Modified Gravitymentioning

confidence: 99%

Multiple fluid theory of cosmic evolution and its thermodynamic analysis

2022

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“…The inhomogeneities mainly brought with the fluid viscosity, fluid-fluid interactions, Fluid-fields interactions. There are several literatures available on anisotropic fluid solutions (Malaver et.al (2013(Malaver et.al ( -2021 [42][43][44][45][46][47][48][49][50][51][52][53][54]), Inhomogeneous fluid solutions (Kar et.al (2021) and Sadhukhan et.al (2020) [31][32][33][34][35][36][37][38][39]). The nonlinear fluid models are the one that can represent the hydrodynamical properties with non linear equation of states which also a different representations of dark energy (Kar et.al (2021) and Sadhukhan et.al (2020) [35,37]).…”

Section: Introductionmentioning

confidence: 99%

“…There are several literatures available on anisotropic fluid solutions (Malaver et.al (2013(Malaver et.al ( -2021 [42][43][44][45][46][47][48][49][50][51][52][53][54]), Inhomogeneous fluid solutions (Kar et.al (2021) and Sadhukhan et.al (2020) [31][32][33][34][35][36][37][38][39]). The nonlinear fluid models are the one that can represent the hydrodynamical properties with non linear equation of states which also a different representations of dark energy (Kar et.al (2021) and Sadhukhan et.al (2020) [35,37]). The scalar field theories can also represent the hydrodynamic nature of the interior fluid systems in scalar field potential variation approach.…”

Section: Introductionmentioning

confidence: 99%

“…The thermodynamics energy conditions in such problems are mainly assumed to be the stability conditions of the models. Although the violation of any of these conditions may bring some shift in equilibrium of compact bodies (Kar et.al (2021) [34,35] and Malaver et.al (2021) [39]). The interior fluid interactions and few other conditions may bring local anisotropy in the interior fluid systems.…”

Section: Introductionmentioning

confidence: 99%

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Buchdahl Spacetime with Compact Body Solution of Charged Fluid and Scalar Field Theory

Fuente¹,

Iyer²,

Kar³

et al. 2022

Preprint

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The present work contains a discussion on compact stellar body that is influenced by the effect of electromagnetic fields. We have tried to discuss a solution of Einstein-Maxwell Field equation with the interpretation of Buchdahl space time type function. The interior fluid density and anisotropic pressures (tangential pressure p t and radial pressure p r ) have been derived for a charged fluid of compact body which is also continuous with the Reissner-Nordstrom metric exterior solution. We have discussed the singularity free interior anisotropic fluid under electromagnetic influence. The thermodynamics energy conditions and their variation with interior radius have been discussed here. We have also discussed the physical acceptability of this new model. Finally we have included the scalar field theory corresponding to the interior fluid that helped us to discuss the compact body strange star evolution with time. The generalized entropy (Bekenstein-Hawking entropy) evolution of the compact body has also been introduced in the discussion of interior fluid evolution analysis.

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“…The polychromatic source and its spectral content interference output can provide highly sensitive displacement measurements and hence this has been used to analyze the pseudo effect of rotation in our work [28]. Some details analysis of Einstein gravity can also be found in the references [29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%