Generation of Generalized-Gauss Laser Beams via a Spatial Light Modulator [PDF]
Generalized-Gauss laser beams can be described as a continuous transition between the well-known Hermite-Gauss (HG) and Laguerre-Gauss (LG) laser beams.
Conry Young, Jessica P, Dix, Samantha
core +3 more sources
The Gauss map of minimal surfaces in the Heisenberg group [PDF]
We study the Gauss map of minimal surfaces in the Heisenberg group $\mathrm{Nil}_3$ endowed with a left-invariant Riemannian metric. We prove that the Gauss map of a nowhere vertical minimal surface is harmonic into the hyperbolic plane $\mathbb{H}^2 ...
Daniel, Benoît
core +2 more sources
Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring [PDF]
We argue that the Weyl coordinates and the rod-structure employed to construct static axisymmetric solutions in higher dimensional Einstein gravity can be generalized to the Einstein-Gauss-Bonnet theory. As a concrete application of the general formalism,
A Padilla+49 more
core +1 more source
Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems [PDF]
We introduce the generalized vector Helmholtz-Gauss (gVHzG) beams that constitute a general family of localized beam solutions of the Maxwell equations in the paraxial domain.
Bandres, Miguel A.+3 more
core +1 more source
Scalar field evolution in Gauss-Bonnet black holes
It is presented a thorough analysis of scalar perturbations in the background of Gauss-Bonnet, Gauss-Bonnet-de Sitter and Gauss-Bonnet-anti-de Sitter black hole spacetimes. The perturbations are considered both in frequency and time domain.
C. Molina+5 more
core +1 more source
Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
We study holographic superconductors in Einstein-Gauss-Bonnet gravity. We consider two particular backgrounds: a $d$-dimensional Gauss-Bonnet-AdS black hole and a Gauss-Bonnet-AdS soliton.
de Oliveira, Jeferson+4 more
core +1 more source
Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole
We investigate the shadows and photon spheres of the four-dimensional Gauss-Bonnet black hole with the static and infalling spherical accretions. We show that for both cases, the shadow and photon sphere are always present.
Zeng, Xiao-Xiong+2 more
core +1 more source
Kerr-Gauss-Bonnet Black Holes: An Analytical Approximation
Gauss-Bonnet gravity provides one of the most promising frameworks to study curvature corrections to the Einstein action in supersymmetric string theories, while avoiding ghosts and keeping second order field equations.
A. Barrau+19 more
core +3 more sources
Inner structure of Gauss-Bonnet-Chern Theorem and the Morse theory
We define a new one form H^A based on the second fundamental tensor H^abA, the Gauss-Bonnet-Chern form can be novelly expressed with this one-form. Using the phi-mapping theory we find that the Gauss-Bonnet-Chern density can be expressed in terms of the ...
Duan, Yi-shi, Zhang, Peng-ming
core +1 more source
Pseudo-spherical submanifolds with 1-type pseudo-spherical Gauss map
In this work, we study the pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify the Lorentzian surfaces in a 4-dimensional pseudo-sphere $\mathbb{S}^4_s(1)$ with index s, $s=1, 2$, and having ...
Bektaş, Burcu+2 more
core +1 more source