Exact Teleparallel Gravity of Binary Black Holes

Abstract

An exact solution of two singularities in the teleparallel equivalent to general relativity theory has been obtained. A holographic visualization of the binary black holes (BBHs) space-time, due to the non vanishing torsion scalar field, has been given. The acceleration tensor of BBHs space-time has been calculated. The results identify the repulsive gravity zones of the BBHs field. The total conserved quantities of the BBHs has been evaluated. Possible gravitational radiation emission by the system has been calculated without assuming a weak field initial data.

10 pages, 3 figures. v2 minor changes to match the published version

References in corpus (8)

• The teleparallel equivalent of general relativity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
• Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory
• Charged Axially Symmetric Solution and Energy in Teleparallel Theory Equivalent to General Relativity
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity
• Construction of energy-momentum tensor of gravitation

Cited by in corpus (39)

• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Stable and self-consistent compact star models in teleparallel gravity
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Anisotropic compact stars in the mimetic gravitational theory
• Anisotropic compact stars in higher-order curvature theory
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Quasinormal modes of dS and AdS Black Holes: Feedforward neural network method
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Evaporation of Black Hole Under the Effect of Quantum Gravity
• Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Rotating black hole in $f(R)$ theory
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ 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
• Neutral compact spherically symmetric stars in teleparallel gravity
• Properties of compact objects in quadratic non-metricity gravity
• Analytical Stellar Models of Neutron Stars in Teleparallel Gravity
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• Compact stellar model in higher torsion gravitational theory
• New Conformal Invariants in Absolute Parallelism Geometry
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions
• Connections in sub-Riemannian geometry of parallelizable distributions
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions