{"title":"Observation constraints on scalar field cosmological model in anisotropic universe","authors":"Vinod Kumar Bhardwaj, Anil Kumar Yadav","doi":"10.1142/s0219887824501445","DOIUrl":null,"url":null,"abstract":"<p>In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. In this study, our aim is to constrain the scalar field dark energy model in an anisotropic background. For this purpose, the explicit solution of the developed field equations for the model is determined and analyzed. Constraints on the cosmological model parameters are established utilizing Markov Chain Monte Carlo (MCMC) analysis and using the latest observational datasets of OHD, BAO, and Pantheon. For the combined dataset (OHD, BAO, and Pantheon), the best-fit values of Hubble and density parameters are estimated as <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>7</mn><mn>1</mn><mo>.</mo><mn>5</mn><mn>4</mn><mo stretchy=\"false\">±</mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>8</mn></math></span><span></span>, <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"normal\">Ω</mi></mrow><mrow><mi>m</mi><mn>0</mn></mrow></msub><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>6</mn><mn>2</mn><mn>2</mn><mo stretchy=\"false\">±</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>2</mn><mn>1</mn></math></span><span></span><span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"normal\">Ω</mi></mrow><mrow><mi>ϕ</mi><mn>0</mn></mrow></msub><mo>=</mo><mn>0</mn><mo>.</mo><mn>7</mn><mn>3</mn><mn>3</mn><mn>1</mn><mo stretchy=\"false\">±</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>4</mn><mn>6</mn></math></span><span></span> and <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"normal\">Ω</mi></mrow><mrow><mi>σ</mi><mn>0</mn></mrow></msub><mo>=</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>0</mn><mn>1</mn><mn>6</mn><mn>2</mn><mo stretchy=\"false\">±</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>0</mn><mn>0</mn><mn>6</mn><mn>3</mn></math></span><span></span>. The model shows a flipping nature and redshift transition occurs at <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>z</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><mn>0</mn><mo>.</mo><mn>6</mn><mn>9</mn><mn>6</mn><msubsup><mrow><mn>4</mn></mrow><mrow><mo stretchy=\"false\">−</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>0</mn><mn>0</mn><mn>6</mn></mrow><mrow><mo stretchy=\"false\">+</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>1</mn><mn>3</mn><mn>6</mn></mrow></msubsup></math></span><span></span>, and the present value of decelerated parameter is computed to be <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>q</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mo stretchy=\"false\">−</mo><mn>0</mn><mo>.</mo><mn>6</mn><mn>9</mn><mn>6</mn><mn>4</mn><mo stretchy=\"false\">±</mo><mn>0</mn><mo>.</mo><mn>0</mn><mn>2</mn><mn>8</mn></math></span><span></span> for the combined dataset. We have explored characteristics like the universe’s age, particle horizon, deceleration parameter, and jerk parameter. The dynamical properties, such as energy density <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>ρ</mi></mrow><mrow><mi>ϕ</mi></mrow></msub></math></span><span></span>, scalar field pressure <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>p</mi></mrow><mrow><mi>ϕ</mi></mrow></msub></math></span><span></span>, and equation of state parameter <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>ω</mi></mrow><mrow><mi>ϕ</mi></mrow></msub></math></span><span></span>, are analyzed and presented. We have also described the behavior of the scalar potential <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mi>V</mi><mo stretchy=\"false\">(</mo><mi>ϕ</mi><mo stretchy=\"false\">)</mo></math></span><span></span> and scalar field. Furthermore, the authors also described the behavior of energy conditions in scalar-tensor cosmology. The scenario of the present accelerated expansion of the universe is described by the contribution of the scalar field.</p>","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"84 1","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Geometric Methods in Modern Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0219887824501445","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. In this study, our aim is to constrain the scalar field dark energy model in an anisotropic background. For this purpose, the explicit solution of the developed field equations for the model is determined and analyzed. Constraints on the cosmological model parameters are established utilizing Markov Chain Monte Carlo (MCMC) analysis and using the latest observational datasets of OHD, BAO, and Pantheon. For the combined dataset (OHD, BAO, and Pantheon), the best-fit values of Hubble and density parameters are estimated as , and . The model shows a flipping nature and redshift transition occurs at , and the present value of decelerated parameter is computed to be for the combined dataset. We have explored characteristics like the universe’s age, particle horizon, deceleration parameter, and jerk parameter. The dynamical properties, such as energy density , scalar field pressure , and equation of state parameter , are analyzed and presented. We have also described the behavior of the scalar potential and scalar field. Furthermore, the authors also described the behavior of energy conditions in scalar-tensor cosmology. The scenario of the present accelerated expansion of the universe is described by the contribution of the scalar field.
期刊介绍:
This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics, including in particular: Classical Mechanics (Lagrangian, Hamiltonian, Poisson formulations); Quantum Mechanics (also semi-classical approximations); Hamiltonian Systems of ODE''s and PDE''s and Integrability; Variational Structures of Physics and Conservation Laws; Thermodynamics of Systems and Continua (also Quantum Thermodynamics and Statistical Physics); General Relativity and other Geometric Theories of Gravitation; geometric models for Particle Physics; Supergravity and Supersymmetric Field Theories; Classical and Quantum Field Theory (also quantization over curved backgrounds); Gauge Theories; Topological Field Theories; Strings, Branes and Extended Objects Theory; Holography; Quantum Gravity, Loop Quantum Gravity and Quantum Cosmology; applications of Quantum Groups; Quantum Computation; Control Theory; Geometry of Chaos.