Universal spherically symmetric solution of nonlinear dislocation theory for incompressible isotropic elastic medium
Sign Up to like & getrecommendations! Published in 2019 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-018-1403-9
Abstract: The equilibrium problem of a nonlinearly elastic medium with a given dislocation distribution is considered. The system of equations consists of the equilibrium equations for the stresses, the incompatibility equations for the distortion tensor, and… read more here.
Keywords: spherically symmetric; elastic medium; dislocation; symmetric solution ... See more keywords
Spherically symmetric de Sitter solution of black holes
Sign Up to like & getrecommendations! Published in 2020 at "Indian Journal of Physics"
DOI: 10.1007/s12648-020-01872-7
Abstract: In this study, we obtain the solution of the spherically symmetric de Sitter solution of black holes using a general form of distribution functions which include Gaussian, Rayleigh and Maxwell–Boltzmann distributions as a special case.… read more here.
Keywords: spherically symmetric; black holes; symmetric sitter; solution ... See more keywords
Static spherically symmetric Einstein-æther models II: Integrability and the modified Tolman–Oppenheimer–Volkoff approach
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Physics"
DOI: 10.1016/j.aop.2019.168002
Abstract: We investigate the existence of analytic solutions for the field equations in the Einstein-aether theory for a static spherically symmetric spacetime and provide a detailed dynamical system analysis of the field equations. In particular, we… read more here.
Keywords: oppenheimer volkoff; static spherically; field equations; tolman oppenheimer ... See more keywords
Non-static conformally flat spherically symmetric space-times in Einstein–Cartan theory
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2019.03.010
Abstract: Abstract By exploiting the null tetrad formalism of Jogia and Griffiths and the technique of differential forms on a non-Riemannian space-time, non-static conformally flat, Petrov-type D, spherically symmetric solutions of the Einstein–Cartan field equations; when… read more here.
Keywords: spherically symmetric; conformally flat; einstein cartan; non static ... See more keywords
Poisson type conformastat spherically symmetric anisotropic fluid spacetimes
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2022.03.001
Abstract: We construct an analytical family of conformastat spherically symmetric spacetimes representing anisotropic fluid matter distributions from Newtonian potential-density pairs and its circular speed profile. As a simple application, we present, for the second member of… read more here.
Keywords: spherically symmetric; conformastat spherically; anisotropic fluid;
Potential Functions Admitted by Well-Known Spherically Symmetric Static Spacetimes
Sign Up to like & getrecommendations! Published in 2018 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(18)30037-5
Abstract: Conformal groups, which also represent the point symmetries of wave and Klein—Gordon equations, give rise to interesting forms of an associated potential function. The exact nature of the relationship between the conformal groups and the… read more here.
Keywords: functions admitted; spherically symmetric; well known; admitted well ... See more keywords
Uniform boundness of global solutions for a n-dimensional spherically symmetric combustion model
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1469010
Abstract: ABSTRACT This paper concerns a n-dimensional spherically symmetric model for the combustion of a viscous, compressible, radiative-reactive gas with a chemical kinetics equation. Under suitable assumptions, we establish some uniform-in-time estimates of global solutions to… read more here.
Keywords: spherically symmetric; combustion; dimensional spherically; model ... See more keywords
Labeling spherically symmetric spacetimes with the Ricci tensor
Sign Up to like & getrecommendations! Published in 2017 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/aa525d
Abstract: We complete the intrinsic characterization of spherically symmetric solutions partially accomplished in a previous paper [Class.Quant.Grav. (2010) 27 205024]. In this approach we consider every compatible algebraic type of the Ricci tensor, and we analyze… read more here.
Keywords: spherically symmetric; labeling spherically; symmetric spacetimes; tensor ... See more keywords
Spherically symmetric linear perturbations of electrically counterpoised dust
Sign Up to like & getrecommendations! Published in 2020 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/abda63
Abstract: We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is electrically counterpoised dust. We show that the evolution equation for the fluid perturbation implies that the fluid elements move… read more here.
Keywords: spherically symmetric; symmetric linear; electrically counterpoised; linear perturbations ... See more keywords
Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
Sign Up to like & getrecommendations! Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac2136
Abstract: The f(T) gravity is nowadays being widely used for cosmological model building, as well as for constructing spherically symmetric solutions. In its classical pure tetrad formulation it violates the local Lorentz symmetry in the space… read more here.
Keywords: spherically symmetric; invariance gravity; issues lorentz; lorentz invariance ... See more keywords
Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2018/07/022
Abstract: We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term and the… read more here.
Keywords: curvature invariants; spherically symmetric; singularity; symmetric solutions ... See more keywords