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Gravitational fields of rapidly rotating neutron stars: Theoretical foundation

  • Compact, Objects, Black Holes
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Relativistic Gravity Research With Emphasis on Experiments and Observations

Part of the book series: Lecture Notes in Physics ((LNP,volume 410))

Abstract

The gravitational fields of rotating bodies describe ‘minimal’ surfaces in a four-dimensional (Pseudo-)Riemannian Potential Space with the line element

$$dS^2 = - 2d\alpha dW + 2WdU^2 - \frac{{e^{4U} }}{{2W}}dA^2 - 2\kappa _0 We^{2\alpha - 2U} p(V)dW^2 .$$

This paper I is meant to prepare the numerical application of the minimal surface formalism to rapidly rotating neutron stars in a following paper II.

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References

  • Bardeen, J.M., Wagoner, R.W. (1969): Ap. J. 158 L65

    Article  Google Scholar 

  • Bardeen, J.M., Wagoner, R.W. (1971): Ap. J. 167 359

    Article  Google Scholar 

  • Belinsky, V.A., Zakharov, V.E. (1978): Zh. Eksp. Teor. Fiz. 75 1953

    Google Scholar 

  • Chandrasekhar, S. (1969): “Ellipsoidal Figures of Equilibrium”, Yale Univ. Press, New Haven and London

    Google Scholar 

  • Harrison, B.K. (1978): Phys. Rev. Lett. 41 119

    Google Scholar 

  • Hauser, I., Ernst, F.J. (1980): J. Math. Phys. 21 1126

    Article  Google Scholar 

  • Hoenselaers, C., Kinnersley, W., Xanthopoulos, B. (1979): J. Math. Phys. 20 2530

    Article  Google Scholar 

  • Kramer, D. (1988): Astron. Nachr. 309 267

    Google Scholar 

  • Kramer, D., Stephani, H., MacCallum, M., Herlt, E. (1980): “Exact Solutions of Einstein's Field Equations”, Dt. Verlag d. Wiss., Berlin

    Google Scholar 

  • Kundt, W., Tümper, M. (1966): Z. Phys. 192 419

    Article  Google Scholar 

  • Lewis, T. (1932): Proc. Roy. Soc. Lond. A 136 176

    Google Scholar 

  • Maison, D. (1978): Phys. Rev. Lett. 41 521

    Article  Google Scholar 

  • Meinel, R., Neugebauer, G. (1992) to be published

    Google Scholar 

  • Neugebauer, G. (1970): Habilitationsschrift (Jena University)

    Google Scholar 

  • Neugebauer, G. (1979): J. Phys. A: Math. Gen. 12 L67

    Article  Google Scholar 

  • Neugebauer, G. (1985): in “Proceedings of the Balatonszéplak Relativity Workshop”, ed. by Z. Perjes (KFKI Publ., Central Research Institute for Physics, Budapest) p. 103

    Google Scholar 

  • Neugebauer, G. (1988): in “Relativity Today, Proceedings of the 2nd Hungarian Workshop”, ed. by Z. Perjes (World Scientific, Singapore) p. 134

    Google Scholar 

  • Neugebauer, G. (1990): Ann. Phys. (Leipzig) 47 177

    Google Scholar 

  • Neugebauer, G., Herlt, E. (1984): Class. Quantum Grav. 1 695

    Article  Google Scholar 

  • Neugebauer, G., Kramer, D. (1969): Ann. Phys. (Leipzig) 24 62

    Google Scholar 

  • Papapetrou, A. (1966): Ann. Inst. H. Poincaré A 4 83

    Google Scholar 

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Author information

Authors and Affiliations

  1. MPG-Arbeitsgruppe „Gravitationstheorie” an der Friedrich-Schiller-Universität Jena, O-6900, Jena, Germany

    Gernot Neugebauer

  2. Lehr- und Forschungsbereich Theoretische Astrophysik, Universität Tübingen, W-7400, Tübingen, Germany

    Heinz Herold

Authors
  1. Gernot Neugebauer
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  2. Heinz Herold
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Editor information

J. Ehlers G. Schäfer

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© 1992 Springer-Verlag

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Neugebauer, G., Herold, H. (1992). Gravitational fields of rapidly rotating neutron stars: Theoretical foundation. In: Ehlers, J., Schäfer, G. (eds) Relativistic Gravity Research With Emphasis on Experiments and Observations. Lecture Notes in Physics, vol 410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56180-3_14

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  • DOI: https://doi.org/10.1007/3-540-56180-3_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56180-4

  • Online ISBN: 978-3-540-47483-8

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