Exact Analytical Taub-NUT like Solution in f(T) Gravity

Abstract

We construct exact analytical Taub-NUT solutions in the context of $f(T)$ gravity. We study the physical properties of the solutions, and compare them with those of the Taub-NUT solution in Einstein gravity.

13 pages, references added, typos corrected

References in corpus (89)

• The Large N Limit of Superconformal Field Theories and Supergravity
• f(T) teleparallel gravity and cosmology
• The Kerr/CFT Correspondence
• f(T) Gravity and local Lorentz invariance
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Cosmological perturbations in f(T) gravity
• Observational constraints of $f(Q)$ gravity
• The covariant formulation of f(T) gravity
• Cosmography in f(T)-gravity
• Hidden Conformal Symmetry of the Kerr Black Hole
• Energy Conditions in $f(Q)$ gravity
• Cosmological Solutions of $f(T)$ Gravity
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Black holes in $f(\mathbb{Q})$ Gravity
• Cosmography in $f(Q)$ gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Anisotropic Universe Models in f(T) Gravity
• Covariant formulation of scalar-torsion gravity
• Energy conditions bounds on f(T) gravity
• New Static Solutions in f(T) Theory
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Galaxy morphology rules out astrophysically relevant Hu-Sawicki $f(R)$ gravity
• Inflation in $f(R,T)$ Gravity
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• Kerr-Bolt Spacetimes and Kerr/CFT Correspondence
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Foundational issues in f(T) gravity theory
• Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Holographic Renormalization in Teleparallel Gravity
• Linear growth in power law $f(T)$ gravity
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity
• Approaches to spherically symmetric solutions in f(T) gravity
• Traversable wormholes in $f(R)$-massive gravity
• Can $f(T)$ models play a bridge between early and late time Universe?
• Gravitational wave propagation in $f(R)$ models: New parametrizations and observational constraints
• Naked singularities and quantum gravity
• Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration
• Exploring Axial Symmetry in Modified Teleparallel Gravity
• Exploring late-time cosmic acceleration: A study of a linear $f(T)$ cosmological model using observational data
• Hybrid stars are compatible with recent astrophysical observations
• Strongest constraint in $f(R)=R+\alpha R^2$ gravity: stellar stability
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki $f(R)$ Gravity
• Thin shells in (2+1)-dimensional F(R) gravity
• Cosmic evolution in f(T) gravity theory
• Inflation from $f(R)$ theories in gravity's rainbow
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
• Compact stars in $f(T)=T+\xi T^{\beta }$ gravity
• Cosmological solutions in five dimensional Einstein-Maxwell-dilaton theory
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Prospects of constraining $f(T)$ gravity with the third-generation gravitational-wave detectors
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• Exact convoluted solutions in higher-dimensional Einstein-Maxwell theory
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
• Anisotropic cosmological dynamics in $f(T)$ gravity in the presence of a perfect fluid
• LRS Bianchi I model with bulk viscosity in f(R,T) gravity
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• Matching tetrads in f(T) gravity
• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• Exact Solutions for Self--Dual Yang--Mills and Self--Dual Tensor Multiplets on Gravitational Instanton Background
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
• Type IV singular bouncing cosmology from $f(T)$ Gravity
• On "Rotating charged AdS solutions in quadratic $f(T)$ gravity": New rotating solutions
• Gibbons-Hawking M-branes
• M-Branes on k-center Instantons