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Cited by 404

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Topological censorship

Friedman, John L., Schleich, Kristin, Witt, Donald M.·1993·Physical Review Letters
DOI 10.1103/physrevlett.71.1486
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Abstract

All three-manifolds are known to occur as Cauchy surfaces of asymptotically flat vacuum spacetimes and of spacetimes with positive-energy sources. We prove here the conjecture that general relativity does not allow an observer to probe the topology of spacetime: Any topological structure collapses too quickly to allow light to traverse it. More precisely, in a globally hyperbolic, asymptotically flat spacetime satisfying the null energy condition, every causal curve from ${\mathit{scrI}}^{\mathrm{\ensuremath{-}}}$ to ${\mathit{scrI}}^{+}$ is homotopic to a topologically trivial curve from ${\mathit{scrI}}^{\mathrm{\ensuremath{-}}}$ to ${\mathit{scrI}}^{+}$.

Overview

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Crossref · 10.1103/physrevlett.71.1486

Cites

1 of 1 references verified0 citation errors · 0 not checkable

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Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • To first order in h, the GSL implies the condition of Graham and Olum.

    “Then [18] showed that to first order in h, the GSL implies the condition of Graham and Olum.”

    From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [18]

  • If the generalized second law is true in all states, its time-reverse must also be true in all states.

    “And if the GSL is true in all states, its time-reverse must also be true in all states [18].”

    From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [18]

  • Any divergences in the entanglement entropy near the boundary must be the same on both sides.

    “Furthermore any divergences in the entanglement entropy near the boundary must be the same on both sides [18].”

    From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [18]

  • So long as the infinite quantities subtracted off of the entropy of a region only depend on extensive, Lorentz invariant features of the region's boundary, the divergent terms combine in such a way as to cancel out of the final result.

    “However, so long as the infinite quantities subtracted off of the entropy of a region only depend on extensive, Lorentz invariant features of the region's boundary, the divergent terms combine in such a way as to cancel out of the final result.”

    From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [18]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 13

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  4. G. J. Galloway, 1983, J. Phys. A, 16, 1435, 10.1088/0305-4470/16/7/019 · DOI
  5. R. Penrose, 1969, Riv. Nuovo Cimento, 1, 252
  6. R. Geroch, 1979, General Relativity, an Einstein Centenary Survey
  7. F. J. Tipler, 1978, J. Diff. Geometry, 30, 165
  8. F. J. Tipler, 1978, Phys. Rev. D, 17, 2521, 10.1103/PhysRevD.17.2521 · DOI
  9. A. Borde, 1987, Classical Quantum Gravity, 4, 343, 10.1088/0264-9381/4/2/015 · DOI
  10. M. S. Morris, 1988, Phys. Rev. Lett., 61, 1446, 10.1103/PhysRevLett.61.1446 · DOI · Paper page
  11. R. Schoen, 1981, Commun. Math. Phys., 79, 231, 10.1007/BF01942062 · DOI
  12. S. W. Hawking, 1992, Phys. Rev. D, 46, 603, 10.1103/PhysRevD.46.603 · DOI
  13. R. M. Wald, 1991, Phys. Rev. D, 44, 403, 10.1103/PhysRevD.44.403 · DOI

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Metadata

Authors
Friedman, J. L., Schleich, K., & Witt, D. M.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1993-09-06
Volume
71
Issue
10
Pages
1486-1489
ISSN
0031-9007
DOI
10.1103/physrevlett.71.1486
Cited by
404
References
1
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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