Neutral compact spherically symmetric stars in teleparallel gravity

Abstract

We present novel neutral and uncharged solutions that describe the cluster of Einstein in the teleparallel equivalent of general relativity (TEGR). To this end, we use a tetrad field with non-diagonal spherical symmetry which gives the vanishing of the off-diagonal components for the gravitational field equations in the TEGR theory. The clusters are calculated by using an anisotropic energy-momentum tensor. We solve the field equations of TEGR theory, using two assumptions: the first one is by using an equation of state that relates density with tangential pressure while the second postulate is to assume a specific form of one of the two unknown functions that appear in the non-diagonal tetrad field. Among many things presented in this study, we investigate the static stability specification. We also study the Tolman-Oppenheimer-Volkoff equation of these solutions in addition to the conditions of energy. The causality constraints with the adiabatic index in terms of the limit of stability are discussed.

arXiv comment13 pages, 9 figures

References in corpus (61)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Gravitational Vacuum Condensate Stars
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Formalising the Slow-Roll Approximation in Inflation
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Inflationary cosmology in modified gravity theories
• Spherically symmetric dissipative anisotropic fluids: A general study
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Torsion Gravity: a Reappraisal
• Charged anisotropic matter with linear equation of state
• Anisotropic models for compact stars
• Anisotropic strange star with de Sitter spacetime
• Anisotropic Compact stars in the Buchdahl model: A comprehensive study
• Possible Formation of Compact Stars in $f(R,T)$ Gravity
• Charged gravastars admitting conformal motion
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Anisotropic Compact Stars in $f(G)$ Gravity
• Compact anisotropic spheres with prescribed energy density
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• Charged Gravastars in Modified Gravity
• Beyond Concordance Cosmology with Magnification of Gravitational-Wave Standard Sirens
• Strange Stars in $f(T)$ Gravity With MIT Bag Model
• The (2+1)-dimensional charged gravastars
• Anisotropic compact stars in Karmarkar spacetime
• Photon sphere and perihelion shift in weak $f(T)$ gravity
• Anisotropic Compact Stars in $f(T)$ Gravity
• The (2+1)-dimensional gravastars
• Phase Portraits of general f(T) Cosmology
• Exact Teleparallel Gravity of Binary Black Holes
• Reissner Nordstr$\ddot{o}$m solutions and Energy in teleparallel theory
• On Einstein clusters as galactic dark matter halos
• Compact stars in $f(T)$ extended theory of gravity
• Stability of the Vacuum Non Singular Black Hole
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum
• Energy and Momentum in the Tetrad Theory of Gravitation
• Energy and momentum of a spherically symmetric dilaton frame as regularized by teleparallel gravity
• Analytic models of Anisotropic Strange Stars in $f(T)$ Gravity with Off-diagonal tetrad
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• Charge Gravastars in $f(T)$ Modified Gravity
• Magnetic fields in anisotropic relativistic stars
• Bounds on M/R for static objects with a positive cosmological constant
• Anisotropic Quintessence Strange Stars in f(T) Gravity with Modified Chaplygin Gas
• Nonminimally coupled scalar field in teleparallel gravity: boson stars
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• The Chaplygin gas as a model for modified teleparallel gravity?
• Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry
• Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity

Cited by in corpus (2)

• Non-trivial class of anisotropic compact stellar model in Rastall gravity
• Isotropic stellar model in mimetic theory