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Singularity Free Stars in (2+1) Dimensions

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Abstract

We present some new types of non-singular model for anisotropic stars with constant Λ and variable Λ based on the Krori and Barua (KB) metric in (2+1) dimensions. The solutions obtained here satisfy all the regularity conditions and its simple analytical form helps us to study the various physical properties of the configuration.

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References

  1. Bañados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Mann, R.B., Ross, S.F.: Phys. Rev. D 47, 3319 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  3. Lubo, M., et al.: Phys. Rev. D 59, 044012 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  4. Sakamoto, K., et al.: Phys. Rev. D 58, 124017 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  5. Cruz, N., Zanelli, J.: Class. Quantum Gravity 12, 975 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Cruz, N., Olivares, M., Villanueva, J.R.: Gen. Relativ. Gravit. 37, 667 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  7. Carlip, S.: Class. Quantum Gravity 12, 2853 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Sharma, R., et al.: Phys. Lett. B 704, 1 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  9. Gurtug, O., et al.: Phys. Rev. D 85, 104004 (2012) and refereces therein

    Article  ADS  Google Scholar 

  10. Meusburger, C.: Class. Quantum Gravity 26, 055006 (2009) and references therein

    Article  MathSciNet  ADS  Google Scholar 

  11. Rahaman, F., et al.: Phys. Lett. B 707, 319 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  12. Rahaman, F., et al.: Phys. Lett. B 717, 1 (2012). arXiv:1205.6796 [physics.gen-ph]

    Article  ADS  Google Scholar 

  13. Rahaman, F., et al.: Int. J. Theor. Phys. 51, 1680 (2012)

    Article  MATH  Google Scholar 

  14. Rahaman, F., et al.: Phys. Scr. 76, 56 (2007)

    Article  ADS  MATH  Google Scholar 

  15. Jamil, M., et al.: Int. J. Theor. Phys. 49, 835 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  16. Kim, W.T., et al.: Phys. Rev. D 70, 044006 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  17. Perry, G.P., et al.: Gen. Relativ. Gravit. 24, 305 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Krori, K.D., Barua, J.: J. Phys. A, Math. Gen. 8, 508 (1975)

    Article  ADS  MATH  Google Scholar 

  19. Rahaman, F., et al.: Gen. Relativ. Gravit. 44, 107 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Monoar et al., arXiv:1204.3558 [gr-qc]

  21. Mehedi et al., arXiv:1201.5234 [gr-qc]

  22. Varela, V., et al.: Phys. Rev. D 82, 044052 (2010)

    Article  ADS  Google Scholar 

  23. Rahaman, F., et al.: Phys. Rev. D 82, 104055 (2010)

    Article  ADS  Google Scholar 

  24. Rahaman, F., et al.: Eur. Phys. J. C 72, 2071 (2012). arXiv:1108.6125[gr-qc]

    Article  ADS  Google Scholar 

  25. Burdyuzha, V.V.: Astron. Rep. 53, 381 (2009)

    Article  ADS  Google Scholar 

  26. Dymnikova, I.: Class. Quantum Gravity 19, 725 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. Egeland, E.: Compact Stars. Trondheim, Norway (2007)

    Google Scholar 

  28. MaK, M.K., Harko, T.: Mod. Phys. Lett. A 15, 2153 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Fernando, S., et al.: Gen. Relativ. Gravit. 235, 1243 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  30. Astefanesei, D., et al.: Nucl. Phys. B 665, 594 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Ponce de León, J.: Gen. Relativ. Gravit. 25, 1123 (1993)

    Article  ADS  Google Scholar 

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Acknowledgements

FR wishes to thank the authorities of the Inter-University Centre for Astronomy and Astrophysics, Pune, India for providing the Visiting Associateship under which a part of this work was carried out. FR is also thankful to PURSE, DST and UGC, Govt. of India, under post doctoral research award, for providing financial support.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Farook Rahaman & Ayan Banerjee

  2. Department of Physics, “Gh. Asachi” Technical University, Iasi, 700050, Romania

    Irina Radinschi

  3. Department of Mathematics, Adamas Institute of Technology, Barasat, North 24 Parganas, 700126, India

    Sumita Banerjee

  4. Department of Physics, Satitara High School, Kandi, Murshidabad, 742170, India

    Soumendranath Ruz

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  1. Farook Rahaman
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  2. Ayan Banerjee
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  5. Soumendranath Ruz
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Correspondence to Farook Rahaman.

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Rahaman, F., Banerjee, A., Radinschi, I. et al. Singularity Free Stars in (2+1) Dimensions. Int J Theor Phys 52, 932–945 (2013). https://doi.org/10.1007/s10773-012-1406-1

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