Generalized plane-fronted gravitational waves in any dimension

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Generalized plane-fronted gravitational waves in any dimension

We study the gravitational waves in spacetimes of arbitrary dimension. They generalize the pp-waves and the Kundt waves, obtained earlier in four dimensions. Explicit solutions of the Einstein and Einstein-Maxwell equations are derived for an arbitrary cosmological constant. PACS: 04.50.+h, 04.30.-w.

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On General Plane Fronted Waves. Geodesics

A general class of Lorentzian metrics, M0 ×R, 〈·, ·〉z = 〈·, ·〉x + 2 du dv + H (x, u) du2, with (M0, 〈·, ·〉x ) any Riemannian manifold, is introduced in order to generalize classical exact plane fronted waves. Here, we start a systematic study of their main geodesic properties: geodesic completeness, geodesic connectedness and multiplicity causal character of connecting geodesics. These results ...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2004

ISSN: 1550-7998,1550-2368

DOI: 10.1103/physrevd.69.024013