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Models for charged relativistic spheres via hyper-geometric equations

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Abstract

Exact solutions to Einstein–Maxwell systems play an important role in relativistic astrophysics. In this paper, a new technique to generate exact solutions to the Einstein–Maxwell system is proposed. Corresponding to a spherically symmetric charged fluid sphere, by specifying the electric field and for a particular form of the metric potential \(g_{rr}\), a new solution is obtained in terms of hypergeometric functions. Subsequently, for specific choice of model parameters, many closed-form solutions are developed. In the process, it is possible to regain a number of well-known stellar models which had been developed earlier with or without the presence of charge following the Vaidya and Tikekar ansatz for compact stars (J. Astrophys. Astron. 3:325 (1982); J. Math. Phys. 31:2454 (1990)). It is shown that the new class of solutions can be used as viable models for compact stars for a wide range of values of the model parameters. Physical behaviour of the resultant stellar configurations are studied.

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References

  1. K Schwarzschild, On the gravitational field of a sphere of incompressible fluid according to Einstein’s theory, physics/9912033v1 (1999)

  2. K Schwarzschild, On the gravitational field of a mass point according to Einstein’s theory, physics/9905030 (1999)

  3. B V Ivanov, Phys. Rev. D 65, 104001 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  4. W B Bonner, Mon. Not. R. Astron. Soc. 129, 443 (1965)

    Article  ADS  Google Scholar 

  5. P G Whitman and R C Burch, Phys. Rev. D 24, 2049 (1981)

  6. R Sharma, S Mukherjee and S D Maharaj, Gen. Relativ. Gravity 33, 999 (2001)

    Article  ADS  Google Scholar 

  7. B Mukherjee, Acta Phys. Hung. A 13, 243 (2001)

    Article  Google Scholar 

  8. R Tikekar and G P Singh, Grav. Cosmol. 4, 294 (1998)

    ADS  Google Scholar 

  9. L K Patel, R Tikekar and M C Sabu, Gen. Relativ. Gravity 29, 489 (1997)

    Article  ADS  Google Scholar 

  10. P C Vaidya and R Tikekar, J. Astrophys. Astron. 3, 325 (1982)

    Article  ADS  Google Scholar 

  11. K Komathiraj and S D Maharaj, J. Math. Phys. 48, 042501 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  12. R Tikekar, Gen. Relativ. Gravity 16, 445 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  13. J Kumar, A K Prasad, S K Maurya and A Banerjee, Eur. Phys. J. C 78, 540 (2018)

    Article  ADS  Google Scholar 

  14. M H Murad and S Fatema, Eur. Phys. J. C 75, 533 (2015)

    Article  ADS  Google Scholar 

  15. R Sharma, N Dadhich, S Das and S D Maharaj, Eur. Phys. J. C 81, 79 (2021)

    Article  ADS  Google Scholar 

  16. S Thirukkanesh and S D Maharaj, Class. Quantum Gravity 25, 35001 (2008)

    Article  Google Scholar 

  17. S D Maharaj and S Thirukkanesh, Pramana – J. Phys. 72, 481 (2009)

    Article  ADS  Google Scholar 

  18. V Varela, F Rahaman, S Ray, K Chakraborty and M Kalam, Phys. Rev. D 82, 044052 (2010)

    Article  ADS  Google Scholar 

  19. M C Durgapal and R Banerjee, Phys. Rev. D 27, 328 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  20. A D Polyania and V F Zaitsev, Handbook of exact solutions for ordinary differential equations (Chapman and Hall/CRC, New York, 2003)

    Google Scholar 

  21. R Tikekar, J. Math. Phys. 31, 2454 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  22. M S R Delgaty and K Lake, Comput. Phys. Commun. 115, 395 (1998)

    Article  ADS  Google Scholar 

  23. J R Ipser, Astron. Space Sci. 7, 361 (1970)

    Article  ADS  Google Scholar 

  24. H Heintzmann and W Hillebrandt, Astron. Astrophys. 38, 51 (1975)

    ADS  Google Scholar 

Download references

Acknowledgements

RS gratefully acknowledges the support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, under its Visiting Research Associateship Programme.

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Authors and Affiliations

  1. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka

    Suntharalingam Thirukkanesh & Ishara Saparamadu

  2. Department of Physics, Cooch Behar Panchanan Barma University, Cooch Behar, 736 101, India

    Ranjan Sharma & Soumik Bhattacharya

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  1. Suntharalingam Thirukkanesh
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  2. Ishara Saparamadu
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  3. Ranjan Sharma
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  4. Soumik Bhattacharya
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Correspondence to Ranjan Sharma.

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Thirukkanesh, S., Saparamadu, I., Sharma, R. et al. Models for charged relativistic spheres via hyper-geometric equations. Pramana - J Phys 96, 183 (2022). https://doi.org/10.1007/s12043-022-02424-w

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  • DOI: https://doi.org/10.1007/s12043-022-02424-w

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