A basic analysis of accelerating and anthropotropic chemical models in several modified theories of gravitation
Keywords:
Cosmological models, , Bianchi I and II space time and Einstein's field theoryAbstract
Anisotropic and spatially homogenous cosmological models are important tools for explaining the universe's large-scale characteristics. Bianchi space-times have a uniform spatial structure and are globally hyperbolic. On the one hand, the asymptotic behaviour of the most rigid Bianchi space-time (Bianchi I and II space time) is straightforward and well-defined. Nonetheless, the asymptotic behaviour of generic Bianchi space time (Bianchi VIll and IX space-time) is considered to remain chaotic and oscillatory at their initial singularity over an extended period of time.
Numerous hoovers Bianchi VIll and IX space-times display extraordinarily complicated aceillatory behaviour around their original singularity; even little changes to such a space-time's initial Cauchy data produce a significant shift in its asymptotic behaviour. Bianchi space-times are asymptotically silent, defying Misner's notion. Bianchi spaces l X are critical for modelling spatially homogeneous and anisotropic cosmologies. Dirac was the first to propose the idea of a variable gravitational constant G in the framework of relativity. Lau proposed changes to relate the G and A variants within the framework of general relativity. Because a variation in the A equations is technically followed by a variation in G, the significance of the change allows us to continue using Einstein's field without modification.
References
Aktas, C. Magnetised strange quark matter in reconstructed f(R,T) gravity for Bianchi I and V universes with cosmological constant. Turk. J. Phys. 2017, 41, 469–476.
Alam, U.; Sahni, V.; Saini, T.D.; Starobinsky, A. Exploring the expanding Universe and dark energy using the statefinder diagnostic. Mon. Not. R. Astron. Soc. 2003, 344, 1057–1074.
Amirhashchi, H.L.R.S. Bianchi type II stiff fluid cosmological model with decaying vacuum energy density Λ in general relativity. Phys. Lett. B 2011, 697, 429–433.
Babourova, A.; Frolov, B. The Solution of the Cosmological Constant Problem: The Cosmological Constant Exponential De-crease in the Super-Early Universe. Universe 2020, 6, 230.
Bhardwaj, V.K.; Dixit, A. LRS Bianchi type-I bouncing cosmological models in f(R,T) gravity. Int. J. Geom. Methods Mod. Phys. 2020, 17, 2050203.
Bhardwaj, V.K.; Rana, M.K. LRS Bianchi-I transit universe with periodic varying q in f(R,T) gravity. Int. J. Geom. Methods Mod. Phys. 2019, 16, 1950195.
Bhattarcharjee, S.; Sahoo, P.K. Big Bang Nucleosynthesis and Entropy Evolution in f(R,T) Gravitation. Eur. Phys. J. C 2020, 135, 350.
Bishi, B.K.; Pacif, S.; Sahoo, P.K.; Singh, G.P. LRS Bianchi type-I cosmological model with constant deceleration parameter in f(R,T) gravity. Int. J. Geom. Methods Mod. Phys. 2017, 14, 1750158.
Calgar, H.; Aygun, S. Bianchi type-I Universe in f(R,T) Modified gravity with Quark Matter and Λ. In Proceedings of the Turkish Physical Society 32nd International Physics Congress (TPS32), Bodrum, Turkey, 6–9 September 2017; Volume 1815, p. 80008.
Collins, C.B.; Hawking, S.W. Why is the Universe Isotropic? Astrophys. J. 1973, 180, 317–334.
Feng, C.-J. Statefinder diagnosis for Ricci dark energy. Phys. Lett. B 2008, 670, 231–234.
Geng, C.-Q.; Lee, C.-C.; Yin, L. Constraints on a special running vacuum model. Eur. Phys. J. C 2020, 80, 69.
Gudekli, E.; Caliskan, A. Perfect fluid LRS Bianchi Type-I-Universe Model in f(R,T). In Proceedings of the 34th International Physics Congress (IPS) of the Turkish-Physical-Society (TPS34), Konacik, Turkey, 5–9 September 2018; Volume 2042, p. 20042.
Harko, T. Private communication. University College, London.
Kanakavalli, T.; Rao, G.A. LRS Bianchi type-I string cosmological models in f(R,T) gravity. Astrophys. Space Sci. 2016, 361, 206.
Mishra, S.; Tiwari, R.; Beesham, A.; Dubey, V. Bianchi Type I cosmological model in f(R,T) gravity. In Proceedings of the 1st Electronic Conference on Universe, Basel, Switzerland, 22–28 February 2021; Volume 2021.
Nagpal, R.; Pacif, S.K.J.; Singh, J.K.; Bamba, K.; Beesham, A. Analysis with observational constraints in Λ-cosmology in f(R,T) gravity. Eur. Phys. J. C 2018, 78, 946.
Pradhan, A.; Tiwari, R.K.; Beesham, A.; Zia, R. LRS Bianchi type-I cosmological models with accelerated expansion in f(R,T) gravity in the presence of ΛΛ (T). Eur. Phys. J. Plus 2019, 134, 229.
Rathore, R. (2023). A Study Of Bed Occupancy Management In The Healthcare System Using The M/M/C Queue And Probability. International Journal for Global Academic & Scientific Research, 2(1), 01–06. https://doi.org/10.55938/ijgasr.v2i1.36
Rathore, R. (2022). A Review on Study of application of queueing models in Hospital sector. International Journal for Global Academic & Scientific Research, 1(2), 01–05. https://doi.org/10.55938/ijgasr.v1i2.11
Sahni, V.; Saini, T.D.; Starobinsky, A.A.; Alam, U. Statefinder—A new geometric diagnostic of dark energy. JETP Lett. 2003, 77, 201–206.
Sahoo, P.; Reddy, R. LRS Bianchi Type-I Bulk Viscous Cosmological Models in f(R,T) Gravity. Astrophysics 2018, 61, 134–143.
Shabani, H.; Ziaie, A.H. Consequences of energy conservation violation: Late time solutions of Λ(T)CDM subclass of f(R,T) gravity using dynamical system approach. Eur. Phys. J. C 2017, 77, 282.
Shabani, H.; Ziaie, A.H. Interpretation of f(R,T) gravity in terms of a conserved effective fluid. Int. J. Mod. Phys. A 2018, 33, 1850050.
Sharma, U.K.; Zia, R.; Pradhan, A.; Beesham, A. Stability of LRS Bianchi type-I cosmological models in f(R,T)—gravity. Res. Astron. Astrophys. 2019, 19, 55.
Shukla, P.; Jayadev, A. LRS Bianchi Type-I Cosmology with Gamma Law EoS in f(R,T) Gravity. Appl. Appl. Math. 2016, 11, 229–237.
Singh, V.; Beesham, A. LRS Bianchi I model with constant expansion rate in f(R,T) gravity. Astrophys. Space Sci. 2020, 365, 1–8.
Sola, J. Cosmological constant vis-à-vis dynamical vacuum: Bold challenging the Lambda CDM. Int. J. Mod. Phys. A 2016, 31, 16300350.
Solanke, D.T.; Karade, T.M. Bianchi type I universe filled with scalar field coupled with electromagnetic fields in f(R,T) theory of gravity. Indian J. Phys. 2017, 91, 1457–1466.
Tiwari, R.K.; Beesham, A.; Singh, R.; Tiwari, L.K. Time varying G and Λ cosmology in f(R,T) gravity theory. Astrophys. Space Sci. 2017, 362, 143.
Tiwari, R.K.; Sofuoğlu, D.; Dubey, V.K. Phase transition of LRS Bianchi type-I cosmological model in f(R,T) gravity. Int. J. Geom. Methods Mod. Phys. 2020, 17, 2050187.
Weinberg, S. The cosmological constant problem. Rev. Mod. Phys. 1989, 61, 1–23.
Yadav, A.K. Cosmological Constant Dominated Transit Universe from the Early Deceleration Phase to the Current Acceleration Phase in Bianchi-V Spacetime. Chin. Phys. Lett. 2012, 29, 9801.
Yadav, A.K. Transitioning Scenario of Bianchi-I Universe Within f(R,T) Formalism. Braz. J. Phys. 2019, 49, 262–270.
Yadav, A.K.; Ali, A.T. Invariant Bianchi type I models in f(R,T) gravity. Int. J. Geom. Methods Mod. Phys. 2018, 15, 1850026.
Yadav, A.K.; Sahoo, P.K.; Bhardwaj, V. Bulk viscous Biacnhi-I embedded cosmological model in f(R,T) = f1(R) + f2(R)f3(R) gravity. Mod. Phys. Lett. A 2019, 34, 1950145.
Zubair, M.; Hassan, S.M.A.; Abbas, G. Bianchi type I and V solutions in f(R,T) gravity with time-dependent deceleration parameter. Can. J. Phys. 2016, 94, 1289–1296.
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