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Quantum corrections to the Schwarzschild solution
Abstract
The quantum field theory of gravitation is used to compute quantum corrections to the classical Schwarzschild solution of the Einstein equations. The event horizon at $r=2M$ must now be modified, and there are indications that quantum effects may prevent the appearance of the intrinsic singularity at the origin.
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In the citing paper
“This philosophy, combined with the observation [62] that the ∼ 1/r 3 corrections to the four-dimensional Newtonian potential due to massive Kaluza-Klein modes in the Randall-Sundrum model precisely coincide with corrections induced by one-loop quantum effects of the graviton propagator [63], suggests braneworld black holes from the brane perspective are quantum-corrected geometries.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [63]
In the citing paper
“The h tt metic component is simply a modified Newtonian potential for a source M where the 1/r 3 correction can be shown to be precisely of the form of the corrections to the Newtonian due to 1-loop quantum effects induced by the four-dimensional graviton propagator [62,63].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [63]
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Research works printed but not linked: 5
- M. J. Duff, 1973, Phys. Rev. D, 7, 2317, 10.1103/PhysRevD.7.2317 · DOI
- M. J. Duff, 1973, Ann. Phys. (N.Y.), 79, 261, 10.1016/0003-4916(73)90292-3 · DOI
- D. M. Capper, 1973, Phys. Rev. D, 8, 4320, 10.1103/PhysRevD.8.4320 · DOI
- D. M. Capper, 1974, Phys. Rev. D, 9, 1641, 10.1103/PhysRevD.9.1641 · DOI
- J. D. Bjorken, 1964, Relativistic Quantum Mechanics
Cited by
Sorted by citations
Three-Dimensional Quantum Black Holes: A Primer
Panella, E., Pedraza, J. F., & Svesko, A. (2024) · Universe · doi:10.3390/universe10090358 · Cited by 24
Metadata
- Authors
- Duff, M. J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1974-03-15
- Volume
- 9
- Issue
- 6
- Pages
- 1837-1839
- ISSN
- 0556-2821
- Cited by
- 97
- References
- 0
- Language
- en
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