Lie and Noether symmetries in some classes of pp-wave spacetimes

Camci U., YILDIRIM A.

PHYSICA SCRIPTA, cilt.89, sa.8, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 8
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1088/0031-8949/89/8/084003
  • Dergi Adı: PHYSICA SCRIPTA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: pp-wave spacetime, Lie symmetry, Noether gauge symmetry, COSMOLOGICAL MODELS, CONSERVED QUANTITIES, GEODESIC EQUATIONS, SCALAR FIELD, COLLINEATIONS, SPACES, CURVATURE, TENSOR
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We derive the Lie point symmetries of geodesic equations and and Noether gauge symmetries of the geodesic Lagrangian for some classes of pp-wave spacetimes. The considered classes of pp-wave spacetimes are the plane-wave spacetimes (i) H = ax(2)u(-2), (ii) H = a(2)x(2)u(-4) and (iii) H = a(2)x(2), and a pp-wave spacetime (iv) H = ax(n), where H is the scale factor in pp-wave spacetime. We discuss the relations between the obtained Lie point and Noether gauge symmetry generators. We also calculate the first integrals in each of the cases, and give a solution of geodesic equations using those first integrals in case (i) as an example.