Study of Wormholes in Symmetric Teleparallel Theories of Gravity
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arXiv
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2025
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| author | Tayde, Moreshwar |
| author_facet | Tayde, Moreshwar |
| contents | This thesis explores traversable wormhole (WH) solutions within symmetric teleparallel gravity and its extensions, including $f(Q)$ and $f(Q, T)$ gravity. Chapter I reviews WH geometry and properties, general relativity, and modified gravity's role in WH physics. Chapter II constructs WHs in $f(Q)$ gravity using dark matter profiles like Pseudo-Isothermal and Navarro-Frenk-White (NFW). For linear $f(Q)$ models, suitable redshift and shape functions satisfying the flare-out condition yield viable WHs, with the monopole charge $η$ driving Null Energy Condition (NEC) violation. The Volume Integral Quantifier (VIQ) method shows minimal exotic matter is needed. Nonlinear models like $f(Q) = Q + m Q^n$ fail to meet WH criteria. Chapter III studies $f(Q, T)$ gravity, where $Q$ and the trace $T$ of the energy-momentum tensor are coupled. WHs are examined under barotropic and anisotropic equations of state using forms like $f(Q, T) = αQ + βT$ and $f(Q, T) = Q + λ_1 Q^2 + η_1 T$. NEC violations occur near the throat, indicating effective matter-geometry coupling. Tolman-Oppenheimer-Volkoff (TOV) analysis confirms equilibrium under suitable parameters. Chapter IV employs the MIT bag model in $f(Q, T)$ gravity, treating it as a source of exotic matter. Specific shape functions lead to WHs with NEC violation and TOV-based stability under radial perturbations. Chapter V considers WHs in $f(Q, T)$ gravity with noncommutative geometries inspired by string theory. Gaussian and Lorentzian smeared sources are used. Linear models yield analytical WH solutions, nonlinear ones are numerical. All satisfy the flare-out condition and exhibit NEC violation. Gravitational lensing analysis reveals distinguishable features from black holes. Chapter VI summarizes the results, emphasizing observational prospects in extended gravity frameworks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04952 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of Wormholes in Symmetric Teleparallel Theories of Gravity Tayde, Moreshwar General Relativity and Quantum Cosmology This thesis explores traversable wormhole (WH) solutions within symmetric teleparallel gravity and its extensions, including $f(Q)$ and $f(Q, T)$ gravity. Chapter I reviews WH geometry and properties, general relativity, and modified gravity's role in WH physics. Chapter II constructs WHs in $f(Q)$ gravity using dark matter profiles like Pseudo-Isothermal and Navarro-Frenk-White (NFW). For linear $f(Q)$ models, suitable redshift and shape functions satisfying the flare-out condition yield viable WHs, with the monopole charge $η$ driving Null Energy Condition (NEC) violation. The Volume Integral Quantifier (VIQ) method shows minimal exotic matter is needed. Nonlinear models like $f(Q) = Q + m Q^n$ fail to meet WH criteria. Chapter III studies $f(Q, T)$ gravity, where $Q$ and the trace $T$ of the energy-momentum tensor are coupled. WHs are examined under barotropic and anisotropic equations of state using forms like $f(Q, T) = αQ + βT$ and $f(Q, T) = Q + λ_1 Q^2 + η_1 T$. NEC violations occur near the throat, indicating effective matter-geometry coupling. Tolman-Oppenheimer-Volkoff (TOV) analysis confirms equilibrium under suitable parameters. Chapter IV employs the MIT bag model in $f(Q, T)$ gravity, treating it as a source of exotic matter. Specific shape functions lead to WHs with NEC violation and TOV-based stability under radial perturbations. Chapter V considers WHs in $f(Q, T)$ gravity with noncommutative geometries inspired by string theory. Gaussian and Lorentzian smeared sources are used. Linear models yield analytical WH solutions, nonlinear ones are numerical. All satisfy the flare-out condition and exhibit NEC violation. Gravitational lensing analysis reveals distinguishable features from black holes. Chapter VI summarizes the results, emphasizing observational prospects in extended gravity frameworks. |
| title | Study of Wormholes in Symmetric Teleparallel Theories of Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.04952 |