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Rainich theory for type D aligned Einstein–Maxwell solutions

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Abstract

The original Rainich theory for the non-null Einstein–Maxwell solutions consists of a set of algebraic conditions and the Rainich (differential) equation. We show here that the subclass of type D aligned solutions can be characterized just by algebraic restrictions.

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References

  1. Rainich G.Y. (1925). Trans. Am. Math. Soc. 27: 106

    Article  MathSciNet  Google Scholar 

  2. Ferrando J.J. and Sáez J.A. (2003). Gen. Relativ. Gravit. 35: 1191

    Article  MATH  ADS  Google Scholar 

  3. Mariot L. (1954). C. R. Acad. Sci. Paris 238: 2055

    MATH  MathSciNet  Google Scholar 

  4. Robinson I. (1961). J. Math. Phys. 2: 290

    Article  ADS  Google Scholar 

  5. Bartrum P.C. (1967). J. Math. Phys. 8: 667

    Article  ADS  Google Scholar 

  6. Ludwig G. (1970). Commun. Math. Phys. 17: 98

    Article  ADS  MathSciNet  Google Scholar 

  7. Coll B. and Ferrando J.J. (1989). J. Math. Phys. 30: 2918

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Coll B. and Ferrando J.J. (2005). Gen. Relativ. Gravit. 37: 557

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Stephani H., Kramer D., MacCallum M., Hoenselaers C. and Herlt E. (2003). Exact Solutions to Einstein’s Field Equations. Cambridge University Press, Cambridge

    Google Scholar 

  10. Petrov, A.Z.: Sci. Not. Kazan Univ. 114 55, (1954). This article has been reprinted in Gen. Relativ. Gravit. 32, 1665 (2000)

    Google Scholar 

  11. Bel, L.: Cah. de Phys. 16, 59 (1962). This article has been reprinted in Gen. Relativ. Gravit. 32, 2047 (2000)

    Google Scholar 

  12. Ferrando J.J., Morales J.A. and Sáez J.A. (2001). Class. Quantum Gravit. 18: 4969

    Article  ADS  Google Scholar 

  13. Ferrando J.J. and Sáez J.A. (2007). Gen. Relativ. Gravit. 39: 343

    Article  MATH  ADS  Google Scholar 

  14. Coll B., Fayos F. and Ferrando J.J. (1987). J. Math. Phys. 28: 1075

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. Debever R. (1976). Bull. Acad. R. Belgique 62: 662

    MATH  MathSciNet  Google Scholar 

  16. Ferrando J.J. and Sáez J.A. (2004). J. Math. Phys. 45: 652

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Plebański J.F and Hacyan S. (1979). J. Math. Phys. 20: 1004

    Article  ADS  MathSciNet  Google Scholar 

  18. Plebański J.F. and Demiański M. (1976). Ann. Phys. (NY) 98: 98

    Article  ADS  Google Scholar 

  19. Weir G.J. and Kerr R.P. (1977). Proc. Roy. Soc. A 355: 31

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. Debever R., Kamran N. and McLenaghan R.C. (1984). J. Math. Phys. 25: 1955

    Article  ADS  MathSciNet  Google Scholar 

  21. Griffiths J.B. and Podolský J. (2006). Int. J. Mod. Phys. D 15: 335

    Article  MATH  ADS  Google Scholar 

  22. Ferrando J.J. and Sáez J.A. (1998). Class. Quantum Gravit. 15: 1323

    Article  MATH  ADS  Google Scholar 

  23. Ferrando, J.J., Sáez, J.A.: (2007, in preparation)

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Authors and Affiliations

  1. Departament d’Astronomia i Astrofísica, Universitat de València, 46100, Burjassot, Valencia, Spain

    Joan Josep Ferrando

  2. Departament de Matemàtiques per a l’Economia i l’Empresa, Universitat de València, 46071, Valencia, Spain

    Juan Antonio Sáez

Authors
  1. Joan Josep Ferrando
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  2. Juan Antonio Sáez
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Correspondence to Joan Josep Ferrando.

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Ferrando, J.J., Sáez, J.A. Rainich theory for type D aligned Einstein–Maxwell solutions. Gen Relativ Gravit 39, 2039–2051 (2007). https://doi.org/10.1007/s10714-007-0500-9

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  • DOI: https://doi.org/10.1007/s10714-007-0500-9

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