Cylindrically symmetric fluid in unimodular f (R) gravity

Aydin H., Ulu Doğru M.

ASTROPHYSICS AND SPACE SCIENCE, cilt.364, sa.11, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 364 Sayı: 11
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s10509-019-3697-7
  • Dergi Adı: ASTROPHYSICS AND SPACE SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this paper, we examine static cylindrical symmetric fluid in unimodular f (R) gravity. Unimodularity for cylindrical symmetric spacetime geometry is ensured with a coordinate transformation by using tetrad formalism. Field equation solutions for given matter and the spacetime are obtained. Resource of cosmic matter is discussed by using Equation of State (EoS) and energy conditions. We investigate weak and strong energy conditions in unimodular f (R) gravity context with the help of Raychaudhuri equations. Obtained results show that fluids which violate the energy conditions cause the proposed unimodular and cylindrical symmetric wormholes, but this kind of wormholes do not satisfy traversability conditions. Furthermore, the obtained solutions indicate that. coefficient in EoS must have the condition. = -1 for physically meaningful fluids. It is discussed whether the result is compatible with the unimodular gravitation theories.