Skip to main content

Stars

  • Chapter
  • First Online:
Elements of General Relativity

Part of the book series: Compact Textbooks in Mathematics ((CTM))

  • 2580 Accesses

Abstract

In this chapter we provide an introduction to general relativistic stellar models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. R. Beig, W. Simon, On the uniqueness of static perfect–fluid solutions in general relativity. Commun. Math. Phys. 144, 373–390 (1992)

    Article  MathSciNet  Google Scholar 

  2. H.A. Buchdahl, General relativistic fluid spheres. Phys. Rev. 116(2), 1027–1034 (1959)

    Article  MathSciNet  Google Scholar 

  3. J.M. Heinzle, Bounds on 2mr for static perfect fluids (2007). arXiv:0708.3352 [gr-qc]

    Google Scholar 

  4. J. Jezierski, Thermo-hydrodynamics as a field theory, in Nonequilibrium Theory and Extremum Principles, ed. by S. Sieniutycz, P. Salamon. Advances of Thermodynamics, vol. 3 (Taylor and Francis, New York, 1990), pp. 282–317

    Google Scholar 

  5. J. Jezierski, J. Kijowski, Une description hamiltonienne du frottement et de la viscosité. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre 301, 221–224 (1985)

    MathSciNet  Google Scholar 

  6. P. Karageorgis, J.G. Stalker, Sharp bounds on 2mr for static spherical objects. Classical Quantum Gravity 25, 195021, 14 pp. (2008). arXiv:0707.3632 [gr-qc]. https://doi.org/10.1088/0264-9381/25/19/195021

  7. J. Kijowski, A. Smólski, A. Górnicka, Hamiltonian theory of self-gravitating perfect fluid and a method of effective deparametrization of Einstein’s theory of gravitation. Phys. Rev. D 41(3), 1875–1884 (1990). https://doi.org/10.1103/PhysRevD.41.1875

    Article  MathSciNet  Google Scholar 

  8. R. Kippenhahn, A. Weigert, Stellar Structure and Evolution (Springer, New York, 1994)

    MATH  Google Scholar 

  9. A.K.M. Masood-ul Alam, Proof that static stellar models are spherical. Gen. Relativ. Gravit. 39, 55–85 (2007). https://doi.org/10.1007/s10714-006-0364-4

    Article  MathSciNet  Google Scholar 

  10. S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1983)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Chruściel, P.T. (2019). Stars. In: Elements of General Relativity. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-28416-9_5

Download citation

Publish with us

Policies and ethics