Einstein field equations within local fractional calculus

Khalili Golmankhaneh A., Yang X., Baleanu D.

Romanian Journal of Physics, cilt.60, sa.1-2, ss.1-10, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1-2
  • Basım Tarihi: 2015
  • Dergi Adı: Romanian Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-10
  • Anahtar Kelimeler: Local fractional Christoffel index, Local fractional Einstein field, Local fractional Ricci tensor, Local fractional Riemann-Christoffel tensor
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the local fractional Christoffel index symbols of the first and second kind. The divergence of a local fractional contravariant vector and the curl of local fractional covariant vector are defined. The fractional intrinsic derivative is given. The local fractional Riemann-Christoffel and Ricci tensors are obtained. Finally, the Einstein tensor and Einstein field are generalized by involving the fractional derivatives. Illustrative examples are presented.