The Influence of Impulsive Gravitational Waves on Particles in Spacetimes of Constant Curvature
نویسنده
چکیده
Abstract. In this work we study the influence of expanding spherical impulsive gravitational waves on geodesics in spacetimes of constant curvature. In the case of a non-zero cosmological constant, for general C1 geodesic in continuous coordinate system, we derive the refraction formulae which identify the positions and the velocity vector inclinations of free test particles on both sides of the impulse. In detail we investigate and visualise the effect of the impulsive wave generated by a snapping cosmic string.
منابع مشابه
Exact impulsive gravitational waves in spacetimes of constant curvature
Exact solutions exist which describe impulsive gravitational waves propagating in Minkowski, de Sitter, or anti-de Sitter universes. These may be either nonexpanding or expanding. Both cases in each background are reviewed here from a unified point of view. All the main methods for their construction are described systematically: the Penrose “cut and paste” method, explicit construction of cont...
متن کامل0 21 00 07 v 2 1 0 A pr 2 00 3 Geodesics in spacetimes with expanding impulsive gravitational waves
We study geodesic motion in expanding spherical impulsive gravitational waves propagating in a Minkowski background. Employing the continuous form of the metric we find and examine a large family of geometrically preferred geodesics. For the special class of axially symmetric spacetimes with the spherical impulse generated by a snapping cosmic string we give a detailed physical interpretation o...
متن کاملSpacetimes admitting quasi-conformal curvature tensor
The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect flui...
متن کاملSymmetries and geodesics in (anti–)de Sitter spacetimes with nonexpanding impulsive waves
We consider a class of exact solutions which represent nonexpanding impulsive waves in backgrounds with nonzero cosmological constant. Using a convenient 5-dimensional formalism it is shown that these spacetimes admit at least three global Killing vector fields. The same geometrical approach enables us to find all geodesics in a simple explicit form and describe the effect of impulsive waves on...
متن کاملانقباض گرانشی یک لایه نور گونه با تقارن کروی در نسبیت عام
In this work, the gravitational collapse of a spherically symmetric null shell with the flat interior and a charged Vaidya exterior spacetimes is studied. There is no gravitational impulsive wave present on the null hypersurface which is shear-free and contracting. It follows that there is a critical radius at which the shell bounces and starts expanding.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010