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Methods of dynamical systems have been used to study homogeneous and isotropic cosmological models with a varying speed of light (VSL). We propose two methods of reduction of dynamics to the form of planar Hamiltonian dynamical systems for…

General Relativity and Quantum Cosmology · Physics 2008-07-22 Marek Szydlowski , Adam Krawiec

We give a general method to find exact cosmological solutions for scalar-field dark energy in the presence of perfect fluids. We use the existence of invariant transformations for the Wheeler De Witt (WdW) equation. We show that the…

General Relativity and Quantum Cosmology · Physics 2015-10-02 Andronikos Paliathanasis , Michael Tsamparlis , Spyros Basilakos , John D. Barrow

We present a class of dynamical solutions for an intersecting D4-D8 brane system in ten-dimensional type IIA supergravity. The dynamical solutions reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region. We also…

High Energy Physics - Theory · Physics 2008-01-24 Pierre Binetruy , Misao Sasaki , Kunihito Uzawa

We present a new brane solution in the (1+5)-dimensional space-time with an increasing warp factor, which localizes the zero modes of all kinds of matter fields and Newtonian gravity. The interesting features of this solution are: 1) In…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael Maziashvili

In this paper we show all possible ramps where an object can move with constant speed under the effect of gravity and friction. The planar ramp are very easy to describe, just rotate a curve with velocity vector (tanh(as),sech(as)). Recall…

Differential Geometry · Mathematics 2016-01-20 Oscar M. Perdomo

The warp drive envisioned by Alcubierre that can move a spaceship faster than light can, with modification, levitate it as if it were lighter than light, even allow it to go below a black hole's horizon and return unscathed. Wormhole-like…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

This paper investigates static wormhole solutions through Noether symmetry approach in the context of energy-momentum squared gravity. This newly developed proposal resolves the singularity of big-bang and yields feasible cosmological…

General Relativity and Quantum Cosmology · Physics 2021-05-12 M. Sharif , M. Zeeshan Gul

We classify all spherically symmetric spacetimes admitting a kinematic self-similar vector of the second, zeroth or infinite kind. We assume that the perfect fluid obeys either a polytropic equation of state or an equation of state of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hideki Maeda , Tomohiro Harada , Hideo Iguchi , Naoya Okuyama

We present a new formal solution of the Lagrangian equation of radiative transfer that is useful in solving the equation of radiative transfer in the presence of arbitrary velocity fields. Normally a term due to the inclusion of the…

Solar and Stellar Astrophysics · Physics 2009-11-13 S. Knop , P. H. Hauschildt , E. Baron

We introduce the concept of energy-variational solutions for hyperbolic conservation laws. Intrinsically, these energy-variational solutions fulfill the weak-strong uniqueness principle and the semi-flow property, and the set of solutions…

Analysis of PDEs · Mathematics 2022-11-23 Thomas Eiter , Robert Lasarzik

A new class of solutions which yields an $(n+1)$-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the…

High Energy Physics - Theory · Physics 2009-08-05 M. H. Dehghani , S. H. Hendi

We investigate the geometrical and physical structures of a pseudo-symmetric spacetime $(PS)_4$ with timelike vector under the condition of conformal flatness. We classify it into two possible types: constant Ricci scalar and closed…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Avik De , Simran Arora , Uday Chand De , P. K. Sahoo

In this paper we consider the 3D Euler equations and we first prove a criterion for energy conservation for weak solutions with velocity satisfying additional assumptions in fractional Sobolev spaces with respect to the space variables,…

Analysis of PDEs · Mathematics 2024-05-15 Luigi C. Berselli , Rossano Sannipoli

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Yu. P. Rybakov , B. Saha , G. N. Shikin

Shape dynamics is a classical theory of gravity which agrees with general relativity in many important aspects, but which possesses different gauge symmetries and can present some fundamental global differences with respect to Einstein…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Henrique Gomes , Gabriel Herczeg

Solitons in space--time capable of transporting time-like observers at superluminal speeds have long been tied to violations of the weak, strong, and dominant energy conditions of general relativity. The negative-energy sources required for…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Erik W. Lentz

We present a novel supersymmetric solution to a nonlinear sigma model coupled to supergravity. The solution represents a static, supersymmetric, codimension-two object, which is different to the familiar cosmic strings. In particular, we…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Parameswaran , G. Tasinato , I. Zavala

We consider solutions with conformal symmetry of the static, spherically symmetric gravitational field equations in the vacuum in the brane world scenario. By assuming that the vector field generating the symmetry is non-static, the general…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. K. Mak , T. Harko

Recent research has proposed that advanced propulsion mechanisms such as warp drives are more physically feasible than previously thought, using positive energy sources potentially sourced by known classical physics. Motivated by this, we…

Instrumentation and Methods for Astrophysics · Physics 2024-05-31 Erik W. Lentz , Ryan C. Felton

The null geodesic equations in the Alcubierre warp drive spacetime are numerically integrated to determine the angular deflection and redshift of photons which propagate through the distortion of the ``warp drive'' bubble to reach an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Chad Clark , William A. Hiscock , Shane L. Larson