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Cited by 27

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

The Jang Equation Reduction of the Spacetime Positive Energy Theorem in Dimensions Less Than Eight

Eichmair, Michael·2013·Communications in Mathematical Physics
DOI 10.1007/s00220-013-1700-7
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Research works printed but not linked: 29

  1. Almgren, F.J. Jr.: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Mem. Amer. Math. Soc. 4, no. 165 (1976) · DOI
  2. Andersson, L., Eichmair, M., Metzger, J.: Jang’s equation and its applications to marginally trapped surfaces. In: Complex analysis and dynamical systems IV. Part 2, Contemp. Math., Vol. 554, Providence, RI,: Amer. Math. Soc., 2011, pp. 13–45
  3. Andersson L., Metzger J.: The area of horizons and the trapped region. Commun. Math. Phys. 290(3), 941–972 (2009) · DOI
  4. Arnowitt, R., Deser, S., Misner, C.W.: The Dynamics of General Relativity. In: Gravitation: an introduction to current research. L. Witten (ed.), New York: Wiley, 1962, pp. 227–265
  5. Bartnik R.: The mass of an asymptotically flat manifold. Commun. Pure Appl. Math. 39(5), 661–693 (1986) · DOI
  6. Besse, A.L.: Einstein manifolds. Classics in Mathematics, Berlin: Springer-Verlag, 2008, Reprint of the 1987 edition
  7. Bray H.L., Lee D.A.: On the Riemannian Penrose inequality in dimensions less than eight. Duke Math. J. 148(1), 81–106 (2009) · DOI · Paper page
  8. Christodoulou D., ÓMurchadha N.: The boost problem in general relativity. Commun. Math. Phys. 80(2), 271–300 (1981) · DOI
  9. Deser S.: Positive classical gravitational energy from classical supergravity. Phys. Rev. D (3) 27(12), 2805–2808 (1983) · DOI
  10. Deser S., Teitelboim C.: Supergravity has positive energy. Phys. Rev. Lett. 39(5), 249–252 (1977) · DOI · Paper page
  11. Duzaar F., Steffen K.: λ minimizing currents. Manuscripta Math. 80(4), 403–447 (1993) · DOI
  12. Eichmair M.: The Plateau problem for marginally outer trapped surfaces. J. Diff. Geom. 83(3), 551–583 (2009) · DOI
  13. Eichmair M.: Existence, regularity, and properties of generalized apparent horizons. Commun. Math. Phys. 294(3), 745–760 (2010) · DOI
  14. Eichmair, M., Metzger, J.: Jenkins-Serrin type results for the Jang equation. http://arxiv.org/abs/1205.4301 [math.DG], 2012 · arXiv
  15. Galloway G.J., Schoen R.: A generalization of Hawking’s black hole topology theorem to higher dimensions. Commun. Math. Phys. 266(2), 571–576 (2006) · DOI
  16. Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Classics in Mathematics, Berlin: Springer-Verlag, 2001, Reprint of the 1998 edition
  17. Grisaru M.T.: Positivity of the energy in Einstein theory. Phys. Lett. 73B(2), 207 (1978) · DOI
  18. Jang P.S.: On the positivity of energy in general relativity. J. Math. Phys. 19(5), 1152–1155 (1978) · DOI
  19. Metzger J.: Blowup of Jang’s equation at outermost marginally trapped surfaces. Commun. Math. Phys. 294(1), 61–72 (2010) · DOI
  20. Nardmann, M.: A remark on the rigidity case of the positive energy theorem, http://arxiv.org/abs/1004.5430v1 [math.DG], 2010 · arXiv
  21. Schoen R., Simon L., Yau S.T.: Curvature estimates for minimal hypersurfaces. Acta Math. 134(3-4), 275–288 (1975) · DOI · Paper page
  22. Schoen R.: Conformal deformation of a Riemannian metric to constant scalar curvature. J. Diff. Geom. 20(2), 479–495 (1984) · DOI · Paper page
  23. Schoen, R.: Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. In: Topics in calculus of variations (Montecatini Terme, 1987), Lecture Notes in Math., Vol. 1365, Berlin: Springer, 1989, pp. 120–154
  24. Schoen R., Simon L.: Regularity of stable minimal hypersurfaces. Commun. Pure Appl. Math. 34(6), 741–797 (1981) · DOI
  25. Schoen R., Yau S.T.: On the proof of the positive mass conjecture in general relativity. Commun. Math. Phys. 65(1), 45–76 (1979) · DOI · Paper page
  26. Schoen R., Yau S.T.: The energy and the linear momentum of space-times in general relativity. Commun. Math. Phys. 79(1), 47–51 (1981) · DOI · Paper page
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  28. Schoen R.M., Yau S.T.: Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Proc. Nat. Acad. Sci. U.S.A. 76(3), 1024–1025 (1979) · DOI
  29. Tamanini I.: Boundaries of Caccioppoli sets with Hölder-continuous normal vector. J. Reine Angew. Math. 334, 27–39 (1982)

Cited by

Metadata

Authors
Eichmair, M.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
2013-03-29
Volume
319
Issue
3
Pages
575-593
ISSN
  • 0010-3616
  • 1432-0916
DOI
10.1007/s00220-013-1700-7
Cited by
27
References
3
Language
en
Licence
www.springer.com/tdm (tdm)

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