Convergence of Radially Symmetric Solutions for (p, q)-Laplacian Elliptic Equations with a Damping Term
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9560-4
Abstract: This study considers the quasilinear elliptic equation with a damping term, $$\begin{aligned} \text {div}(D(u)\nabla u) + \frac{k(|{\mathbf {x}}|)}{|{\mathbf {x}}|}\,{\mathbf {x}}\cdot (D(u)\nabla u) + \omega ^2\big (|u|^{p-2}u + |u|^{q-2}u\big ) = 0, \end{aligned}$$div(D(u)∇u)+k(|x|)|x|x·(D(u)∇u)+ω2(|u|p-2u+|u|q-2u)=0,where $${\mathbf {x}}$$x is… read more here.
Keywords: convergence radially; damping term; mathbf; symmetric solutions ... 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
Black holes in f(T,B) gravity: exact and perturbed solutions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2022/01/037
Abstract: Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially… read more here.
Keywords: symmetric solutions; black holes; gravity; spherically symmetric ... See more keywords
Spherically symmetric solutions in higher-derivative theories of gravity
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.101.124061
Abstract: Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the second-order… read more here.
Keywords: spherically symmetric; theories gravity; black holes; gravity ... See more keywords
Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478918040178
Abstract: We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global… read more here.
Keywords: laplace equation; radially symmetric; gradient terms; symmetric solutions ... See more keywords
Static Cylindrical Symmetric Solutions in the Einstein-Aether Theory
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Modern Physics D"
DOI: 10.1142/s0218271821501078
Abstract: In this work we present all the possible solutions for a static cylindrical symmetric spacetime in the Einstein-Aether (EA) theory. One of these solutions are the generalization in EA theory of the Levi-Civita (LC) spacetime… read more here.
Keywords: cylindrical symmetric; einstein aether; aether theory; symmetric solutions ... See more keywords
Exact Spherically Symmetric Solutions in Modified Gauss-Bonnet Gravity from Noether Symmetry Approach
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DOI: 10.3390/sym12010068
Abstract: It is broadly known that Lie point symmetries and their subcase, Noether symmetries, can be used as a geometric criterion to select alternative theories of gravity. Here, we use Noether symmetries as a selection criterion… read more here.
Keywords: spherically symmetric; gauss bonnet; symmetric solutions; gravity ... See more keywords
Stability of axially-symmetric solutions to incompressible magnetohydrodynamics with no azimuthal velocity and with only azimuthal magnetic field
Sign Up to like & getrecommendations! Published in 2019 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2019070
Abstract: Incompressible viscous axially-symmetric magnetohydrodynamics is considered in a bounded axially-symmetric cylinder. Vanishing of the normal components, azimuthal components and also azimuthal components of rotation of the velocity and the magnetic field is assumed on the… read more here.
Keywords: velocity; axially symmetric; magnetic field; magnetohydrodynamics ... See more keywords