Matching the Linet–Tian Spacetime with Conformally Flat Cylindrically Symmetric Sources

2013 ◽  
pp. 469-473
Author(s):  
Irene Brito ◽  
Maria de Fátima A. da Silva ◽  
Filipe C. Mena ◽  
Nilton O. Santos
Keyword(s):  
Conformally Flat ◽  
Cylindrically Symmetric

CONFORMALLY FLAT CYLINDRICALLY SYMMETRIC SOURCES AND THE LINET-TIAN SPACETIME

2015 ◽  
Author(s):  
IRENE BRITO ◽  
MARIA FÁTIMA A. DA SILVA ◽  
FILIPE C. MENA ◽  
NILTON O. SANTOS
Keyword(s):  
Conformally Flat ◽  
Cylindrically Symmetric

Conformally flat polytropes for anisotropic cylindrical geometry

2015 ◽  
Vol 93 (12) ◽  
pp. 1583-1587 ◽  
Author(s):  
M. Sharif ◽  
Sobia Sadiq
Keyword(s):  
Gravitational Potential ◽  
Equations Of State ◽  
Graphical Analysis ◽  
Cylindrical Geometry ◽  
Energy Conditions ◽  
Conformally Flat ◽  
Matter Distribution ◽  
Anisotropic Matter ◽  
Cylindrically Symmetric ◽  
Flat Condition

In this paper, we study cylindrically symmetric anisotropic matter distribution satisfying two polytropic equations of state. The corresponding Lane–Emden equations are constructed and the energy conditions are checked. We evaluate a particular expression for anisotropy by using the conformally flat condition, which helps in the study of polytropic models. The graphical analysis of surface gravitational potential indicates the increasing behavior of model compactness. Finally, we conclude that one of the obtained models is physically viable.

scholarly journals STATIC CYLINDRICAL SYMMETRY AND CONFORMAL FLATNESS

2005 ◽  
Vol 14 (03n04) ◽  
pp. 657-666 ◽  
Author(s):  
L. HERRERA ◽  
G. LE DENMAT ◽  
G. MARCILHACY ◽  
N. O. SANTOS
Keyword(s):  
Incompressible Fluid ◽  
Unit Length ◽  
Cylindrical Symmetry ◽  
Conformally Flat ◽  
Plane Symmetry ◽  
Principal Stresses ◽  
Static Source ◽  
Cylindrically Symmetric ◽  
Flat Solution ◽  
Vacuum Spacetime

We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful static cylindrically symmmetric distributions of matter, smoothly matched to Levi-Civita vacuum spacetime. It is shown that the conformally flat solution with equal principal stresses represents an incompressible fluid. It is also proved that any conformally flat cylindrically symmetric static source cannot be matched through Darmois conditions to the Levi-Civita spacetime. Further evidence is given that when the Newtonian mass per unit length reaches 1/2, the spacetime has plane symmetry.

scholarly journals Linear Energy Density and the Flux of an Electric Field in Proca Tubes

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 640
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Abylaikhan Tlemisov
Keyword(s):  
Scalar Field ◽  
Electric Field ◽  
Higgs Field ◽  
Meissner Effect ◽  
Coupling Constant ◽  
Cylindrically Symmetric ◽  
Integral Characteristics ◽  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Higgs Scalar

In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.

Conformally flat kähler spaces

2020 ◽  
Author(s):  
O. Lesechko ◽  
O. Latysh ◽  
T. Spychak
Keyword(s):  
Conformally Flat

On Lagrangian Catenoids

2007 ◽  
Vol 50 (3) ◽  
pp. 321-333 ◽  
Author(s):  
David E. Blair
Keyword(s):  
General Problem ◽  
Lagrangian Submanifolds ◽  
Minimal Submanifold ◽  
Conformally Flat ◽  
Totally Geodesic ◽  
Schouten Tensor ◽  
Multiplicity One

AbstractRecently I. Castro and F.Urbano introduced the Lagrangian catenoid. Topologically, it is ℝ × Sn–1 and its induced metric is conformally flat, but not cylindrical. Their result is that if a Lagrangian minimal submanifold in ℂn is foliated by round (n – 1)-spheres, it is congruent to a Lagrangian catenoid. Here we study the question of conformally flat, minimal, Lagrangian submanifolds in ℂn. The general problem is formidable, but we first show that such a submanifold resembles a Lagrangian catenoid in that its Schouten tensor has an eigenvalue of multiplicity one. Then, restricting to the case of at most two eigenvalues, we show that the submanifold is either flat and totally geodesic or is homothetic to (a piece of) the Lagrangian catenoid.

scholarly journals $L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jing Li ◽  
Shuxiang Feng ◽  
Peibiao Zhao
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Finiteness Theorem ◽  
Conformally Flat ◽  
Locally Conformally Flat ◽  
Flat Riemannian Manifold ◽  
Ricci Form

AbstractIn this paper, we establish a finiteness theorem for $L^{p}$ L p harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of Han’s result on $L^{2}$ L 2 harmonic 1-forms.

scholarly journals Cylindrically and non-cylindrically symmetric expansion dynamics of tin microdroplets after ultrashort laser pulse impact

2021 ◽  
Vol 127 (2) ◽  
Author(s):  
Tiago de Faria Pinto ◽  
Jan Mathijssen ◽  
Randy Meijer ◽  
Hao Zhang ◽  
Alex Bayerle ◽  
...  
Keyword(s):  
Laser Pulse ◽  
Laser Pulses ◽  
Femtosecond Laser Pulses ◽  
Droplet Deformation ◽  
Cylindrically Symmetric ◽  
Linearly Polarized ◽  
Particle Hydrodynamics ◽  
Deformation Dynamics ◽  
Smoothed Particle ◽  
Asymmetric Shock

AbstractIn this work, the expansion dynamics of liquid tin micro-droplets irradiated by femtosecond laser pulses were investigated. The effects of laser pulse duration, energy, and polarization on ablation, cavitation, and spallation dynamics were studied using laser pulse durations ranging from 220 fs to 10 ps, with energies ranging from 1 to 5 mJ, for micro-droplets with an initial radius of 15 and 23 $$\upmu$$ μ m. Using linearly polarized laser pulses, cylindrically asymmetric shock waves were produced, leading to novel non-symmetric target shapes, the asymmetry of which was studied as a function of laser pulse parameters and droplet size. A good qualitative agreement was obtained between smoothed-particle hydrodynamics simulations and high-resolution stroboscopic experimental data of the droplet deformation dynamics.

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