, Volume 36, Issue 1, pp 95–103 | Cite as

Spherically symmetric static inhomogeneous cosmological models

  • J Krishna Rao
  • M Annapurna
Research Articles


Spherically symmetric static cosmological models filled with black-body radiation are considered. The models are isotropic about a central observer but inhomogeneous. It is suggested that the energy density of the free gravitational field, which is coupled to the isotropic radiation energy density, might play an important role in generating sufficient field (vacuum) energy (when converted into thermal energy) and initiate processes like inflation. On the central world line the energy density of the free gravitational field vanishes whereas the proper pressure and density of the isotropic black-body radiation are constants. Further, it is shown that the cosmological constant is no more arbitrary but given in terms of the central pressure and density. Also, at its maximum value the energy density of the free gravitational field is proved to be equal to one third of the combined value of radiation pressure and density.


Cosmology energy density of the free gravitational field black-body radiation inflation 




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Copyright information

© the Indian Academy of Sciences 1991

Authors and Affiliations

  • J Krishna Rao
    • 1
  • M Annapurna
    • 1
    • 2
  1. 1.Department of MathematicsBhavnagar UniversityBhavnagarIndia
  2. 2.Department of MathematicsVasavi College of EngineeringHyderabadIndia

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