Some higher-dimensional vacuum solutions


Creative Commons License

Gurses M., Karasu A.

CLASSICAL AND QUANTUM GRAVITY, cilt.18, sa.3, ss.509-516, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Konu: 3
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1088/0264-9381/18/3/310
  • Dergi Adı: CLASSICAL AND QUANTUM GRAVITY
  • Sayfa Sayıları: ss.509-516

Özet

We study an even-dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher(even-) dimensional Ricci flat field equations from the four-dimensional Ricci flat metrics. When the four-dimensional Ricci flat geometry corresponds to a colliding gravitational vacuum spacetime our approach provides an exact solution to the vacuum Einstein field equations for colliding gravitational plane waves in an (arbitrary) even-dimensional spacetime. We give explicitly higher-dimensional Szekeres metrics and study their singularity behaviour.