Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity

Abstract

We investigate in this paper the static radial coordinate-dependent spherically symmetric spacetime in teleparallel $F(T)$ gravity for a scalar field source. We begin by setting the static field equations (FEs) to be solved and solve the conservation laws for scalar field potential solutions. We simplify the FEs and then find a general formula for computing the new teleparallel $F(T)$ solutions applicable for any scalar field potential $V(T)$ and coframe ansatz. We compute new non-trivial teleparallel $F(T)$ solutions by using a power-law coframe ansatz for each scalar potential case arising from the conservation laws. We apply this formula to find new exact teleparallel $F(T)$ solutions for several cases of coframe ansatz parameter. The new $F(T)$ solution classes will be relevant for {studying the models close to Born--Infeld and/or scalarized Black Hole (BH) solutions inside the} dark energy (DE) described by a fundamental scalar field such as quintessence, phantom energy or quintom system, to name only those types.

43 pages, 5 tables, and no figure. Will appear soon in Mathematics

References in corpus (81)

• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• f(R,T) gravity
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Cosmological Tracking Solutions
• Kinetically Driven Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Modified teleparallel gravity: inflation without inflaton
• Quintessence and the Rest of the World
• Einstein's Other Gravity and the Acceleration of the Universe
• Quintom Cosmology: Theoretical implications and observations
• Cosmological Evolution of a Quintom Model of Dark Energy
• Teleparallel Gravity: From Theory to Cosmology
• On Born-Infeld Gravity in Weitzenbock spacetime
• $f(Q,T)$ gravity
• Oscillating Quintom and the Recurrent Universe
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Crossing the Phantom Divide: Dark Energy Internal Degrees of Freedom
• Dynamical behavior in $f(T,T_G)$ cosmology
• Turnaround in Cyclic Cosmology
• A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework
• Assessing observational constraints on dark energy
• Quintessence and the Separation of CMB Peaks
• Modified teleparallel theories of gravity in symmetric spacetimes
• Scant evidence for thawing quintessence
• Regularizing role of teleparallelism
• Underdetermination of dark energy
• Matching current observational constraints with nonminimally coupled dark energy
• Cosmological Hyperfluids, Torsion and Non-metricity
• Spin Connection and Renormalization of Teleparallel Action
• Constraining f(T) gravity in the Solar System
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Exact Teleparallel Gravity of Binary Black Holes
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Static spherically symmetric black holes in weak f(T)-gravity
• Non-Linear Obstructions for Consistent New General Relativity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Rip cosmological models in extended symmetric teleparallel gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Symmetry and Equivalence in Teleparallel Gravity
• Holographic thermalization and gravitational collapse in the spacetime dominated by quintessence dark energy
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• Approaches to spherically symmetric solutions in f(T) gravity
• Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration
• Scalarized Black Holes in Teleparallel Gravity
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Dynamical system analysis of Quintom Dark Energy Model
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
• Spherically symmetric teleparallel geometries
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Generalized Teleparallel de Sitter geometries
• Geometrical Trinity of Unimodular Gravity
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Teleparallel Robertson-Walker geometries and applications
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
• Charged gravastar model in noncommutative geometry under $f(\mathbb{T})$ gravity
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Phantom-Like Behavior in Modified Teleparallel Gravity
• Cosmological fluids with boundary term couplings
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• Dynamical system analysis of quintessence dark energy model