Entropy Corrected f(G)Gravity Using Sharma Mitall Holographic Dark Energy Model
Published: 2020-09-17
Page: 182-189
Issue: 2020 - Volume 2 [Issue 1]
Ayman A. Aly *
Physics Department, Faculty of Science, Damanhour University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
By using a power law modified gravity model f(G) together with Sharma Mitall Holographic Dark Energy model (SMHDE) a more understanding of universe behavior is obtained. In our model we reconstruct the Hubble parameter, consequently we verified the cosmic accelerating expansion using the deceleration, equation of state parameters and the diagnostic state finder parameter. The stability of the model is achieved using the square speed of sound parameter. For completeness we study the energy conditions and the results obtained support the idea of universe accelerating expansion behavior. By considering a quantum correction for both power law and logarithmic corrected entropy, the validity of the generalized second law of thermodynamics is studied.
Keywords: Sharma Mitall entropy, dark energy, f(G)gravity model.
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References
Riess AG, et al. Observational Evidence from Supernovae for anccelerating Universe and a Cosmological Constant J. Astron. 1998;116:1009.
WMAP Collaboration Collaboration, E. Komatsu. et al. Astrophys. J. Suppl. 2011;192:18.
Ichiki K et al. Primordial neutrinos, cosmological perturbations ininteracting dark-energy model: CMB and LSS. J. Cosmol. Astropart. Phys. 2008;06:005.
Astier P, et al. The Supernova Legacy Survey: Measurement of , and w from the first year data set” Astron. Astrophys. 2006;447:31.
Armendariz-Picon C. Essentials of k-essence et al. Phys. Rev. D. 2001;63: 103510.
Ratra B, Peebles PJ. Cosmological consequences of a rolling homogeneous scalar field” Phys. Rev. D. 1988;37: 3406.
Sen A. Rolling Tachyon. J. of High Energy Physics. 2002;4:48.
Caldwell RR. A phantom menace? Cosmological consequences of a dark energy component with super-negative equation of state. Phys. Lett. B. 2002;545: 23.
Arkani-Hamed N, et al. “Ghost inflation” J. Cosmol. Astropart. Phys. 2004;4:1.
Anisimov A. “B-inflatio” J Cosmol. Astropart. Phys. 2005;6:6.
Kamenshchik A, et al. An alternative to quintessence. Physics Letters B. 2001; 511:265.
Wei H, Cai RG. A new model of agegraphic dark energy. Physics Letters B. 2008;660:113.
Nojiri S, Odintsov SD. Unified cosmic history in modified gravity: From F (R) theory to Lorentz non-invariant models. Physics report. 2011;505:144.
Li M. A model of holographic dark energy. Phys. Lett. B. 2004;603:1.
Shuang Wang, Yi ang, Miao Li. Holographic dark energy. Physics Reports. 2017;696:1.
Ehsan Sadri, Martiros Khurshudyan. An interacting new holographic dark energy model: Observational constraints” International Journal of Modern Physics D. 2019;28:1950152.
Setare MR. Holographic tachyon model of dark energy ”Phys. Lett. B. 2007;653:116 .
Setare MR, Saridakis EN. Correspondence between holographic and Gauss–Bonnet dark energy models. Phys. Lett. B. 2008; 670:1.X.
Wu, Z-Hong Zhu. Reconstructing f(R) theory according to holographic dark energy. Phys. Lett. B. 2008;660:293.
Gong Y. Extended holographic dark energy Physical Review D. 2004;70:6.
Zhang J et al. Statefinder diagnosis in a non-flat universe and theholographic model of dark energy. JCAP, 2007.
Li M et al. Dark Energy Communications in Theoretical Physics. 2011;51:1 .
Tsallis C, Cirto L. Black hole thermodynamicalentropy. Eur. Phys. J. C. 2013;73:2487 .
Tsallis C. Possible generalization of Boltzmann-Gibbs statistics” J Statist. Phys. 1988;52:479.
Paul J, Thomas PY. Sharma-Mittal Entropy Properties on Record Values. Statics. 2016;76:3.
Sayahian Jahromi A. et al. Generalized entropy formalism and a new holographic dark energy model, ph. Letter B. 2018; 780,21.
Abdul Jawad. Tsallis, Rényi and Sharma-Mittal Holographic Dark Energy Models in Loop Quantum Cosmology. Symmetry. 2018;10(11):635.
Sharma UK, Dubey VC. Exploring the Sharma–Mittal HDE models with different diagnostic tools. Eur. Phys. J. Plus. 2020;135:391.
Sayani Maity, Ujjal Debnath. Tsallis, Rényi, Sharma-Mittal holographic and new agegraphic dark energy models in D-dimensional fractal universe” EPJP. 2019; 134:514.
Felicea A, Tsujikawab S. Construction of cosmologically viable f(G) gravity models. Physics Letters B. 2009;675:1.
Ratbay Myrzakulov, Diego Sáez-Gómez, Anca Tureanu. On the ΛCDM Universe in f(G) gravity. Gen Relativ Gravit. 2011; 43:1671.
Nojiri S, Odintsov SD, Oikonomou VK. Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution. Physics Report. 2017;692:104 .
Cognola G, Elizalde ES, Nojiri SD, Odintsov, Zerbini S. Class of viable modified gravities describing inflation and the onset of accelerated expansion. Phys. Rev. D. 2008;73:084007.
Nojiri S, Odintsov SD, Tretyakov PV, Progr. From inflation to dark energy in the non-minimal modified gravity. Theor. Phys. Suppl. 2008;172:81 .
Granda LN, Rojas GD. Modified gravity in the framework of holographic dark energy. Modern physics letter A. 2020;35:2050025.
Jawadn A, Azhar N, Rani S. Entropy corrected holographic dark energy models in modified gravity. International Journal of Modern Physics. 2017;26:1750040.
Sahni V et al. Two new diagnostics of dark energy. Phys. Rev. D. 2008;78: 103502.
sharif M, et al. “New Holographic Dark Energy Model in Brans-Dicke Theory. Symmetry. 2018;10:153 .
Aly A, et al. Power Law and Logarithmic Entropy Corrected Ricci Dark Energy Models in Brans-Dicke Chameleon Cosmology. IJTP. 2014;10:153.
Santos J, et al. Energy conditions and cosmic acceleration Phys. Rev. D. 2007; 75:083523.
Bekenstein JD. Black holes and entropy Phys. Rev. 1973;2333:7.
Setare M. Generalized second law of thermodynamics in quintom dominated universe Physics Letters B. 2006;641: 130.
Li EK. Generalized holographic Ricci dark energy and generalized second law of thermodynamics in Bianchi Type I universe Gen Relativ. Gravity. 2015;47:136 .
Bamba K, Jamil M, Momeni D, Myrzakulov R. Generalized second law of thermodynamics in f(T) gravity with entropy corrections Astrophys. Space Sci. 2013;344:259.
Sharif M, Fatima HI. “Thermodynamics with corrected entropies in f(G) gravity Astrophysics and Space Science. 2014; 354, 507