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Asymptotic safety (an ultraviolet fixed point with finite-dimensional critical surface) offers the possibility that a predictive theory of quantum gravity can be obtained from the quantization of classical general relativity. However, it is…

广义相对论与量子宇宙学 · 物理学 2011-06-27 Roberto Casadio , Stephen D. H. Hsu , Behrouz Mirza

We investigate shock-wave solutions of the Einstein equations in the case when the speed of propagation is equal to the speed of light. The work extends the shock matching theory of Smoller and Temple, which characterizes solutions of the…

偏微分方程分析 · 数学 2007-05-23 Michael Brian Scott

Fully non-linear, plane-symmetric exact solutions of the Einstein equations describing the scattering of gravitational and electromagnetic waves have existed for many years. For these closed-form solutions to be found, idealized wave…

广义相对论与量子宇宙学 · 物理学 2024-08-13 Breanna Camden , Chris Stevens , John Forbes

A mechanism of formation of gravitational waves in the Universe is considered for a nonspherical collapse of matter. Nonspherical collapse results are presented for a uniform spheroid of dust and a finite-entropy spheroid. Numerical…

高能天体物理现象 · 物理学 2018-11-07 G. S. Bisnovatyi-Kogan , S. G. Moiseenko

New natural supersymmetry is explored in the light of dynamically reduced radiative correction. Unlike in the conventional natural supersymmetry, the range of supersymmetric mass spectrum can be far above the TeV scale instead. For the…

高能物理 - 唯象学 · 物理学 2015-06-26 Huayong Han , Sibo Zheng

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical…

广义相对论与量子宇宙学 · 物理学 2026-03-17 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolás Yunes

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Irina Dymnikova

Propagation of strong shock wave in the expanding universe is studied using approximate analytic, and exact numerical solution of self-similar equations. Both solutions have similar properties, which change qualitatively, depending on the…

广义相对论与量子宇宙学 · 物理学 2021-01-28 G. S. Bisnovatyi-Kogan , S. A. Panafidina

We derive an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. The resulting equations have the same form as the colliding plane wave…

偏微分方程分析 · 数学 2009-10-31 G. Ali , J. K. Hunter

The ultrarelativistic limit of twodimensional dilaton gravity is presented and its associated (anti-)selfdual energy momentum tensor is derived. It is localized on a null line, although the line element remains twice differentiable.…

广义相对论与量子宇宙学 · 物理学 2009-11-10 H. Balasin , D. Grumiller

To clarify certain nonlinear properties of strong gravitational field, we investigate cylindrically symmetric gravitational waves that are localized as regular wave packets in the space of radial and time coordinates. The waves are…

广义相对论与量子宇宙学 · 物理学 2017-07-19 Takashi Mishima , Shinya Tomizawa

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is here applied to consider transversal oscillations and waves in low-collision…

等离子体物理 · 物理学 2007-05-23 V. N. Soshnikov

We consider the acceleration of charged particles near ultra-relativistic shocks, with Lorentz factor Gamma_s >> 1. We present simulations of the acceleration process and compare these with results from semi-analytical calculations. We show…

天体物理学 · 物理学 2014-10-13 Abraham Achterberg , Yves A. Gallant , John G. Kirk , Axel W. Guthmann

We derive an asymptotic equation for quasi-static, nonlinear surface plasmons propagating on a planar interface between isotropic media. The plasmons are nondispersive with a constant linearized frequency that is independent of their…

偏微分方程分析 · 数学 2015-10-29 Ryan G. Halabi , John K. Hunter

Starting from the fully compressible fluid equations in a plane-parallel atmosphere, we demonstrate that linear internal gravity waves are naturally pseudo-incompressible in the limit that the wave frequency $\omega$ is much less than that…

流体动力学 · 物理学 2023-12-25 Bradley W. Hindman , Keith Julien

The self-similarity hypothesis claims that in classical general relativity, spherically symmetric solutions may naturally evolve to a self-similar form in certain circumstances. In this context, the validity of the corresponding hypothesis…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Tomohiro Harada , Ken-ichi Nakao , Brien C. Nolan

The long-time asymptotics is analyzed for finite energy solutions of the 1D Schr\"odinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to…

数学物理 · 物理学 2007-05-23 V. Buslaev , A. Komech , E. Kopylova , D. Stuart

Symmetries compatible with asymptotic flatness and admitting gravitational and electromagnetic radiation are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in axially symmetric electrovacuum spacetimes in which at…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. Bicak , A. Pravdova

In a strongly magnetized, magnetically dominated relativistic plasma, Alfv\'enic turbulence can extend to scales much smaller than the particle inertial scales. It leads to an energy cascade somewhat analogous to inertial- or…

等离子体物理 · 物理学 2024-04-04 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

The space-time focusing of a (continuous) succession of localized X-shaped pulses is obtained by suitably integrating over their speed, i.e., over their axicon angle, thus generalizing a previous (discrete) approach. First, new Superluminal…

经典物理 · 物理学 2009-11-10 M. Zamboni Rached , Amr Shaarawi , Erasmo Recami