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New class of geodesic radiating systems

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Abstract.

The Einstein field equations and junction conditions are studied for a radiating object in which particles are travelling in geodesic motion. The boundary condition at the surface of the star is a Riccati equation in general. We show that several new classes of exact solutions exist. The solutions have a simple form and can be expressed in terms of elementary functions. Earlier models are regained which were found by direct integration of the differential equation and the Lie theory of extended groups.

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References

  1. R. Sharma, R. Tikekar, Gen. Relativ. Gravit. 44, 2503 (2012)

    Article  ADS  Google Scholar 

  2. B.C. Tewari, Gen. Relativ. Gravit. 45, 1547 (2013)

    Article  ADS  Google Scholar 

  3. B.C. Tewari, Astrophys. Space Sci. 342, 73 (2012)

    Article  ADS  Google Scholar 

  4. S. Das, R. Sharma, B.C. Paul, R. Deb, Astrophys. Space Sci. 361, 99 (2016)

    Article  ADS  Google Scholar 

  5. S. Thirukkanesh, M. Govender, Int. J. Mod. Phys. D 22, 1350087 (2013)

    Article  ADS  Google Scholar 

  6. R. Sharma, S. Das, R. Tikekar, Gen. Relativ. Gravit. 47, 25 (2015)

    Article  ADS  Google Scholar 

  7. N.F. Naidu, M. Govender, Int. J. Mod. Phys. D 25, 165009 (2016)

    Article  Google Scholar 

  8. P.C. Vaidya, Proc. Indian Acad. Sci. A 33, 264 (1951)

    ADS  Google Scholar 

  9. N.O. Santos, Mon. Not. R. Astron. Soc. 216, 403 (1985)

    Article  ADS  Google Scholar 

  10. C.A. Kolassis, N.O. Santos, D. Tsoubelis, J. Astrophys. 327, 755 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  11. T. Grammenos, C. Kolassis, Phys. Lett. A 169, 5 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  12. M. Govender, S.D. Maharaj, R. Maartens, Class. Quantum Grav. 15, 323 (1998)

    Article  ADS  Google Scholar 

  13. S. Thirukkanesh, S.D. Maharaj, J. Math. Phys. 50, 022502 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  14. M. Govender, S. Thirukkanesh, Int. J. Theor. Phys. 48, 3558 (2009)

    Article  Google Scholar 

  15. G.Z. Abebe, S.D. Maharaj, K.S. Govinder, Gen. Relativ. Gravit. 46, 1650 (2014)

    Article  ADS  Google Scholar 

  16. G.Z. Abebe, S.D. Maharaj, K.S. Govinder, Gen. Relativ. Gravit. 46, 1733 (2014)

    Article  ADS  Google Scholar 

  17. R. Mohanlal, S.D. Maharaj, A.K. Tiwari, R. Narain, Gen. Relativ. Gravit. 48, 87 (2016)

    Article  ADS  Google Scholar 

  18. S.D. Maharaj, A.K. Tiwari, R. Mohanlal, R. Narain, J. Math. Phys. 57, 092501 (2016)

    Article  ADS  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa

    A. K. Tiwari & S. D. Maharaj

Authors
  1. A. K. Tiwari
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  2. S. D. Maharaj
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Correspondence to S. D. Maharaj.

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Tiwari, A.K., Maharaj, S.D. New class of geodesic radiating systems. Eur. Phys. J. Plus 132, 493 (2017). https://doi.org/10.1140/epjp/i2017-11775-2

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  • DOI: https://doi.org/10.1140/epjp/i2017-11775-2

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