Indian Journal of Physics

, Volume 93, Issue 4, pp 543–552 | Cite as

A static spherically symmetric solution in Einstein–Cartan theory of gravitation

  • L. N. Katkar
  • D. R. PhadatareEmail author
Original Paper


A static spherically symmetric solution of Einstein–Cartan field equations is obtained by using the techniques of differential forms. The solution is proved to be expansion free, shear free and rotating with nonzero acceleration. The pressure and density have been influenced by the spin. The solution is algebraically special Petrov-type D. In the absence of spin, the solution reduces to the solution of Prasanna (Phys Rev D 11:2076 1975).


Asymmetric connections Differential forms Cartan’s equations Kinematical parameters Weyssenhoff fluid 


04.20.jb-Exact solutions 



Authors wish to thank the Inter University Center for Astronomy and Astrophysics (IUCAA), Pune, India, for providing facilities and support during our visit to IUCAA.


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Copyright information

© Indian Association for the Cultivation of Science 2018

Authors and Affiliations

  1. 1.Department of MathematicsShivaji UniversityKolhapurIndia
  2. 2.Department of MathematicsBalasaheb Desai CollegePatanIndia

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