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This thesis investigates how the metric and tetrad formulations of three gravitational field theories in manifolds with timelike boundaries within the covariant phase space program. With the recently developed relative bicomplex framework,…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Valle Varo

We study a special two-dimensional dilaton gravity with Lagrangian $\mathcal{L}=\frac{1}{2}\sqrt{-g}(\phi R+{\lambda^2}{\rm sech}^2\phi)$ where $\lambda$ is a parameter of dimension mass. This theory describes two-dimensional spacetimes…

High Energy Physics - Theory · Physics 2021-08-30 Wen-Yuan Ai

We review the construction of the universal Hamilton-Jacobi counterterm for dilaton gravity in two dimensions, derive the corresponding result in the Cartan formulation and elaborate further upon black hole thermodynamics and semi-classical…

High Energy Physics - Theory · Physics 2008-11-26 Luzi Bergamin , Daniel Grumiller , Robert McNees , Rene Meyer

At a very rapid superfluid transition in $^3$He, follows after a reaction with single neutron, the creation of topological defects (vortices) has recently been demonstrated in accordance with the Kibble-Zurek scenario for the cosmological…

Superconductivity · Physics 2009-10-30 Yu. M. Bunkov , O. D. Timofeevskaya

We show that the Abelian Higgs field equations in the four dimensional anti de Sitter spacetime have a vortex line solution. This solution, which has cylindrical symmetry in AdS$_4$, is a generalization of the flat spacetime Nielsen-Olesen…

High Energy Physics - Theory · Physics 2009-11-07 M. H. Dehghani , A. M. Ghezelbash , R. B. Mann

We study a modified two-dimensional dilaton gravity theory which is exactly solvable in the semiclassical approximation including back-reaction. The vacuum solutions of this modified theory are asymptotically flat static space-times.…

High Energy Physics - Theory · Physics 2016-09-06 Sukanta Bose , Leonard Parker , Yoav Peleg

We investigate vortex solutions to the Abelian Higgs field equations in a four dimensional de Sitter spacetime background. We obtain both static and dynamic solutions with axial symmetry that are generalizations of the Nielsen-Olesen gauge…

High Energy Physics - Theory · Physics 2009-11-07 A. M. Ghezelbash , R. B. Mann

Disk vortices have been heralded as promising routes for planet formation due to their ability to trap significant amounts of pebbles. While the gas motions and trapping properties of two-dimensional vortices have been studied in enough…

Earth and Planetary Astrophysics · Physics 2021-06-09 Natalie Raettig , Wladimir Lyra , Hubert Klahr

We argue that a non-perturbative description of quantum gravity should involve two (non-interacting) copies of a dual field theory on the boundary, and describe the states of the spacetimes accordingly. So, for instance, a complete…

High Energy Physics - Theory · Physics 2012-11-02 Marcelo Botta Cantcheff

We present a combined experimental and theoretical investigation of the formation and decay kinetics of vortices in two dimensional, compressible quantum turbulence. We follow the temporal evolution of a quantum fluid of exciton polaritons,…

We prove the existence of time quasi-periodic vortex patch solutions of the 2$d$-Euler equations in $\mathbb{R}^2$, close to uniformly rotating Kirchhoff elliptical vortices, with aspect ratios belonging to a set of asymptotically full…

Analysis of PDEs · Mathematics 2023-08-16 Massimiliano Berti , Zineb Hassainia , Nader Masmoudi

Motivated by recent studies of nonlinear perturbations of asymptotically anti-de Sitter spacetimes, we study gravitational perturbations of $(n+2)$ dimensional Minkowski spacetime with a spherical Dirichlet wall. By considering the tensor,…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Dhanya S. Menon , Vardarajan Suneeta

We study global vortices coupled to (2+1) dimensional gravity with negative cosmological constant. We found nonsingular vortex solutions in $\phi^4$-theory with a broken U(1) symmetry, of which the spacetimes do not involve physical…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nakwoo Kim , Yoonbai Kim , Kyoungtae Kimm

The field equation for a spin 1/2 massive charged particle propagating in spacetimes that are the direct product of 2-dimensional spaces is separated. Moreover, we use this result to attain the separability of the Dirac equation in some…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Joás Venâncio , Carlos Batista

We find the counterintuitive result that electrons move in OPPOSITE direction to the free electron E x B - drift when subject to a two-dimensional periodic potential. We show that this phenomenon arises from chaotic channeling trajectories…

Condensed Matter · Physics 2009-10-22 R. Fleischmann , T. Geisel , R. Ketzmerick

The spin and charge texture around doped holes in the two-dimensional Hubbard model is calculated within an unrestricted spin rotational invariant slave-boson approach. In the first part we examine in detail the spin structure around two…

Strongly Correlated Electrons · Physics 2009-10-31 G. Seibold

We show that weak-coupled two-dimensional dilaton gravity on Anti-de Sitter space can be described by the dynamics of an open string. Neumann and Dirichlet boundary conditions for the string lead to two different realizations of the Anti-de…

High Energy Physics - Theory · Physics 2009-10-31 Mariano Cadoni , Marco Cavaglia'

We start with a summary of the theory of the gravitational polarization of the quantum vacuum, which makes it possible to consider the quantum vacuum as a source of gravity in the Universe. Next, because virtual gravitational dipoles are…

General Physics · Physics 2023-11-07 Dragan Hajdukovic

Time crystals are a phase of matter, for which the discrete time symmetry of the driving Hamiltonian is spontaneously broken. The breaking of discrete time symmetry has been observed in several experiments in driven spin systems. Here, we…

Quantum Gases · Physics 2018-11-07 Jasper Smits , Lei Liao , Henk Stoof , Peter van der Straten

We test the stability of various wormholes and black holes supported by a scalar field with a negative kinetic term. The general axial perturbations and the monopole type of polar perturbations are considered in the linear approximation.…

General Relativity and Quantum Cosmology · Physics 2013-07-15 K. A. Bronnikov , R. A. Konoplya , A. Zhidenko