Shock waves and general relativity
نویسندگان
چکیده
© Journées Équations aux dérivées partielles, 1994, tous droits réservés. L’accès aux archives de la revue « Journées Équations aux dérivées partielles » (http://www. math.sciences.univ-nantes.fr/edpa/), implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
منابع مشابه
World Scientific Publishing Company Planckian Scattering and Shock Wave Mixing in General Relativity and Dilaton Gravity
Point particle scattering at Planckian centre-of-mass (cm) energies and low fixed momentum transfers, occurring due both to electromagnetic and gravitational interactions, is surveyed, with particular emphasis on the novel features occurring in electromagnetic charge-monopole scattering. The issue of possible mixing of the shock waves occurring due to both kinds of interactions is then addresse...
متن کاملExperimental analysis of shock waves turbulence in contractions with rectangular sections
Formation of shock waves has an important role in supercritical flows studies. These waves are often occurring during passage of supercritical flow in the non-prismatic channels. In the present study, the effect of length of contraction wall of open-channel for two different geometries (1.5 m and 0.5 m) and fixed contraction ratio was investigated on hydraulic parameters of shock waves using ex...
متن کاملGeneral Relativistic Shock Waves that Extend the Oppenheimer-Snyder Model
In earlier work we constructed a class of spherically symmetric, ̄uid dynamical shock waves that satisfy the Einstein equations of general relativity. These shock waves extend the celebrated Oppenheimer-Snyder result to the case of non-zero pressure. Our shock waves are determined by a system of ordinary dierential equations that describe the matching of a FriedmannRobertson-Walker metric (a c...
متن کاملDistinct family of colliding gravitational waves in general relativity.
We present a new family of exact solutions for the Einstein equations that describes colliding gravitational shock waves with cross polarization. In the limit of single polarization it reduces to a family that, up to a transformation of its metric functions, is distinct from the well-known Szekeres family. Furthermore, this family of solutions does not belong to the largest family found recentl...
متن کاملGravitational waves from axisymmetric rotating stellar core collapse to a neutron star in full general relativity
Axisymmetric numerical simulations of rotating stellar core collapse to a neutron star are performed in the framework of full general relativity. The so-called Cartoon method, in which the Einstein field equations are solved in the Cartesian coordinates and the axisymmetric condition is imposed around the y = 0 plane, is adopted. The hydrodynamic equations are solved in the cylindrical coordina...
متن کاملGravitational Waves from Inflation
Gravitational waves (GW) are tensor perturbations of the metric of curved spacetime that propagate. The metric g is a matrix (or differential 2-form, to be specific) that fully describes the 4-dimensional manifold of a spacetime in general relativity. The components of the full metric gμν are the sum of an unperturbed metric and the perturbation hμν , which varies on a smaller scale (separated ...
متن کامل