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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2505.24470 |
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| _version_ | 1866915313541447680 |
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| author | Jaybhaye, Lakhan V. |
| author_facet | Jaybhaye, Lakhan V. |
| contents | Over the past century, General Relativity (GR) has been a cornerstone of gravitational theory. However, recent cosmological observations, such as the accelerated expansion of the Universe, challenge its completeness and the standard $Λ$CDM model. This has motivated the development of alternative approaches, including dynamical dark energy and modifications to gravity. This thesis investigates the $f(R, L_m)$ gravity framework, which extends $f(R)$ gravity by introducing curvature-matter coupling, to address unresolved issues in modern cosmology.
Chapter 1 reviews the foundations of cosmology, GR, and $Λ$CDM, discussing their challenges and introducing modified gravity theories. Chapter 2 studies cosmic expansion in a specific non-linear $f(R, L_m)$ model, analyzing its dynamics using updated $H(z)$ and Pantheon datasets and demonstrating a deceleration-to-acceleration transition. Chapter 3 introduces a model-independent Hubble parameter parametrization and explores cosmological variables using MCMC and combined data. Chapter 4 incorporates bulk viscosity into $f(R, L_m)$ models to explain late-time acceleration and applies Om diagnostics and energy conditions. Chapter 5 examines non-singular matter bounce cosmologies, analyzing bouncing dynamics and the evolution of cosmographic parameters. Chapter 6 addresses gravitational baryogenesis and shows how $f(R, L_m)$ gravity supports the observed baryon-to-entropy ratio. Chapter 7 summarizes the results and suggests directions for future work. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_24470 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of Curvature-Matter Coupling in Modified Gravity Jaybhaye, Lakhan V. General Relativity and Quantum Cosmology Over the past century, General Relativity (GR) has been a cornerstone of gravitational theory. However, recent cosmological observations, such as the accelerated expansion of the Universe, challenge its completeness and the standard $Λ$CDM model. This has motivated the development of alternative approaches, including dynamical dark energy and modifications to gravity. This thesis investigates the $f(R, L_m)$ gravity framework, which extends $f(R)$ gravity by introducing curvature-matter coupling, to address unresolved issues in modern cosmology. Chapter 1 reviews the foundations of cosmology, GR, and $Λ$CDM, discussing their challenges and introducing modified gravity theories. Chapter 2 studies cosmic expansion in a specific non-linear $f(R, L_m)$ model, analyzing its dynamics using updated $H(z)$ and Pantheon datasets and demonstrating a deceleration-to-acceleration transition. Chapter 3 introduces a model-independent Hubble parameter parametrization and explores cosmological variables using MCMC and combined data. Chapter 4 incorporates bulk viscosity into $f(R, L_m)$ models to explain late-time acceleration and applies Om diagnostics and energy conditions. Chapter 5 examines non-singular matter bounce cosmologies, analyzing bouncing dynamics and the evolution of cosmographic parameters. Chapter 6 addresses gravitational baryogenesis and shows how $f(R, L_m)$ gravity supports the observed baryon-to-entropy ratio. Chapter 7 summarizes the results and suggests directions for future work. |
| title | Study of Curvature-Matter Coupling in Modified Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.24470 |