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J. R. Oppenheimer and H. Snyder, Phys. Rev. 56
1939
Earlier work this paper cites.
P. A. M. Dirac, Proc. Roy. Soc. Lond. A 246
1958
Earlier work this paper cites.
P. Bergmann, Phys. Rev. 144
1966
Earlier work this paper cites.
B.S. DeWitt, Phys. Rev. 160
1967
Earlier work this paper cites.
B. S. DeWitt, Phys. Rev. 160
1967
Earlier work this paper cites.
S. W. Hawking, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
K.V. Kuchar, Phys. Rev. D 50
1994
Earlier work this paper cites.
R. Brout and G. Venturi, Phys. Rev. D 39
1996
Earlier work this paper cites.
C. Rovelli, Living Rev. Rel. 1
1998
Earlier work this paper cites.

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2016

Casadio, R., Giugno, A., Giusti, A.

Horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius.

A global gravitational radius operator can be introduced for a static and spherically symmetric quantum mechanical matter state by lifting the classical "Hamiltonian" constraint that relates the gravitational radius to the ADM mass, thus giving rise to a "horizon wave-function".
This minisuperspace-like formalism is shown here to be able to consistently describe also the local gravitational radius related to the Misner-Sharp mass function of the quantum source, provided its energy spectrum is determine by spatially localised modes.

J. R. Oppenheimer and H. Snyder, Phys. Rev. 56
1939
Earlier work this paper cites.
P. A. M. Dirac, Proc. Roy. Soc. Lond. A 246
1958
Earlier work this paper cites.
P. Bergmann, Phys. Rev. 144
1966
Earlier work this paper cites.
B.S. DeWitt, Phys. Rev. 160
1967
Earlier work this paper cites.
B. S. DeWitt, Phys. Rev. 160
1967
Earlier work this paper cites.
S. W. Hawking, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
K.V. Kuchar, Phys. Rev. D 50
1994
Earlier work this paper cites.
R. Brout and G. Venturi, Phys. Rev. D 39
1996
Earlier work this paper cites.
C. Rovelli, Living Rev. Rel. 1
1998
Earlier work this paper cites.

P. Hajicek, B. S. Kay and K. V. Kuchar, Phys. Rev. D 46
2001
Cited alongside, same era.
A. Ashtekar and B. Krishnan, Living Rev. Rel. 7
2004
Cited alongside, same era.
H. Stephani, “Relativity: An introduction to special and general relativity,” (Cambridge University Press, Cambridge, UK, 2004)
2004
Cited alongside, same era.
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Original
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