Built on

L. Donnay and C. Marteau, “Carrollian Physics at the Black Hole Horizon,” Class. Quant. Grav
Original
1903
Earlier work this paper cites.
A. J. Speranza, “Geometrical tools for embedding fields, submanifolds, and foliations,” arXiv:1904.08012 [gr-qc]
Original
1904
Earlier work this paper cites.
L. Ciambelli and R. G. Leigh, “Weyl Connections and their Role in Holography,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
L. Ciambelli, R. G. Leigh, C. Marteau, and P. M. Petropoulos, “Carroll Structures, Null Geometry and Conformal Isometries,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
G. Compère, A. Fiorucci, and R. Ruzziconi, “The Λ \Lambda -BMS 4 group of dS 4 and new boundary conditions for AdS 4 ,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
D. Grumiller, A. Pérez, M. M. Sheikh-Jabbari, R. Troncoso, and C. Zwikel, “Spacetime structure near generic horizons and soft hair,” Phys. Rev. Lett
Original
1908
Earlier work this paper cites.
L. Freidel, E. R. Livine, and D. Pranzetti, “Kinematical Gravitational Charge Algebra,” Phys. Rev. D
Original
1910
Earlier work this paper cites.
S. Carlip, “Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy,” Phys. Rev. D
Original
1910
Earlier work this paper cites.
E. Zermelo, “Über das navigationsproblem bei ruhender oder veränderlicher windverteilung,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
1931
Earlier work this paper cites.
G. Randers, “On an asymmetrical metric in the four-space of general relativity,” Phys. Rev
1941
Earlier work this paper cites.
E. Newman and R. Penrose, “An Approach to gravitational radiation by a method of spin coefficients,” J. Math. Phys
1962
Earlier work this paper cites.
H. Bondi, M. G. J. Van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1962
Earlier work this paper cites.
R. Sachs and H. Bondi, “Gravitational Waves in General Relativity VIII. Waves in Asymptotically Flat Space-time,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1962
Earlier work this paper cites.
R. Penrose, “Asymptotic properties of fields and space-times,” Phys. Rev. Lett
1963
Earlier work this paper cites.
A. Papapetrou, “Champs gravitationnels stationnaires a symetrie axiale,” Ann. Inst. H. Poincare Phys. Theor
1966
Earlier work this paper cites.
B. Carter, “Complete Analytic Extension of the Symmetry Axis of Kerr’s Solution of Einstein’s Equations,” Phys. Rev
1966
Earlier work this paper cites.
E. Noether, “Invariant variation problems,” Transport Theory and Statistical Physics
1971
Earlier work this paper cites.
R. P. Geroch, A. Held, and R. Penrose, “A space-time calculus based on pairs of null directions,” J. Math. Phys
1973
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of Surface Integrals in the Hamiltonian Formulation of General Relativity,” Annals Phys
1974
Earlier work this paper cites.
J. Kijowski and W. Szczyrba, “A Canonical Structure for Classical Field Theories,” Commun. Math. Phys
1976
Earlier work this paper cites.
T. Damour, “Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs,” Thése de Doctorat d’Etat, Université Pierre et Marie Curie, Paris VI
1979
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “Asymptotically anti-De Sitter Spaces,” Commun. Math. Phys
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “On the Poisson Brackets of Differentiable Generators in Classical Field Theory,” J. Math. Phys
1986
Earlier work this paper cites.

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J. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys
1986
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C. Crnkovic and E. Witten, Three Hundred Years of Gravitation · 1986
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J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys
1990
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A. Ashtekar, L. Bombelli, and O. Reula, “The covariant phase space of asymptotically flat gravitational fields,” in Mechanics, Analysis and Geometry: 200 Years After Lagrange · 1991
Cited alongside, same era.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D
1993
Cited alongside, same era.
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Then

Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2, 2011
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time · 2011
Later among the works it cites.
R. Penrose, “Republication of: Conformal treatment of infinity,” General Relativity and Gravitation
2011
Later among the works it cites.
W. Donnelly, L. Freidel, S. F. Moosavian, and A. J. Speranza, “Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics,” arXiv:2012.10367 [hep-th]
Original
2012
Later among the works it cites.
D. Kapec, V. Lysov, S. Pasterski, and A. Strominger, “Semiclassical Virasoro symmetry of the quantum gravity 𝒮 \mathcal{S} -matrix,” JHEP
Original
2014
Later among the works it cites.
M. Campiglia and A. Laddha, “Asymptotic symmetries and subleading soft graviton theorem,” Phys. Rev. D
Original

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2021

Isolated Surfaces and Symmetries of Gravity

Ciambelli, Luca, Leigh, Robert G.

Understand

Conserved charges in theories with gauge symmetries are supported on codimension-2 surfaces in the bulk spacetime.

It has recently been suggested that various classical formulations of gravity dynamics display different symmetries, and paying attention to the maximal such symmetry could have important consequences to further elucidate the quantization of gravity.
After establishing an algebraic off-shell derivation of the maximal closed subalgebra of the full bulk diffeomorphisms in the presence of an isolated corner, we show how to geometrically describe the latter and its embedding in spacetime, without constraining the geometry away from the corner, such as by assuming a foliation.
The analysis encompasses arbitrary embedded surfaces, of generic codimensions $k$.

Built on

L. Donnay and C. Marteau, “Carrollian Physics at the Black Hole Horizon,” Class. Quant. Grav
Original
1903
Earlier work this paper cites.
A. J. Speranza, “Geometrical tools for embedding fields, submanifolds, and foliations,” arXiv:1904.08012 [gr-qc]
Original
1904
Earlier work this paper cites.
L. Ciambelli and R. G. Leigh, “Weyl Connections and their Role in Holography,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
L. Ciambelli, R. G. Leigh, C. Marteau, and P. M. Petropoulos, “Carroll Structures, Null Geometry and Conformal Isometries,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
G. Compère, A. Fiorucci, and R. Ruzziconi, “The Λ \Lambda -BMS 4 group of dS 4 and new boundary conditions for AdS 4 ,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
D. Grumiller, A. Pérez, M. M. Sheikh-Jabbari, R. Troncoso, and C. Zwikel, “Spacetime structure near generic horizons and soft hair,” Phys. Rev. Lett
Original
1908
Earlier work this paper cites.
L. Freidel, E. R. Livine, and D. Pranzetti, “Kinematical Gravitational Charge Algebra,” Phys. Rev. D
Original
1910
Earlier work this paper cites.
S. Carlip, “Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy,” Phys. Rev. D
Original
1910
Earlier work this paper cites.
E. Zermelo, “Über das navigationsproblem bei ruhender oder veränderlicher windverteilung,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
1931
Earlier work this paper cites.
G. Randers, “On an asymmetrical metric in the four-space of general relativity,” Phys. Rev
1941
Earlier work this paper cites.
E. Newman and R. Penrose, “An Approach to gravitational radiation by a method of spin coefficients,” J. Math. Phys
1962
Earlier work this paper cites.
H. Bondi, M. G. J. Van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1962
Earlier work this paper cites.
R. Sachs and H. Bondi, “Gravitational Waves in General Relativity VIII. Waves in Asymptotically Flat Space-time,” Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1962
Earlier work this paper cites.
R. Penrose, “Asymptotic properties of fields and space-times,” Phys. Rev. Lett
1963
Earlier work this paper cites.
A. Papapetrou, “Champs gravitationnels stationnaires a symetrie axiale,” Ann. Inst. H. Poincare Phys. Theor
1966
Earlier work this paper cites.
B. Carter, “Complete Analytic Extension of the Symmetry Axis of Kerr’s Solution of Einstein’s Equations,” Phys. Rev
1966
Earlier work this paper cites.
E. Noether, “Invariant variation problems,” Transport Theory and Statistical Physics
1971
Earlier work this paper cites.
R. P. Geroch, A. Held, and R. Penrose, “A space-time calculus based on pairs of null directions,” J. Math. Phys
1973
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of Surface Integrals in the Hamiltonian Formulation of General Relativity,” Annals Phys
1974
Earlier work this paper cites.
J. Kijowski and W. Szczyrba, “A Canonical Structure for Classical Field Theories,” Commun. Math. Phys
1976
Earlier work this paper cites.
T. Damour, “Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs,” Thése de Doctorat d’Etat, Université Pierre et Marie Curie, Paris VI
1979
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “Asymptotically anti-De Sitter Spaces,” Commun. Math. Phys
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “On the Poisson Brackets of Differentiable Generators in Classical Field Theory,” J. Math. Phys
1986
Earlier work this paper cites.

Similar

J. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys
1986
Cited alongside, same era.
Cambridge University Press, 1986
C. Crnkovic and E. Witten, Three Hundred Years of Gravitation · 1986
Cited alongside, same era.
J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys
1990
Cited alongside, same era.
Elsevier, Amsterdam, 1991
A. Ashtekar, L. Bombelli, and O. Reula, “The covariant phase space of asymptotically flat gravitational fields,” in Mechanics, Analysis and Geometry: 200 Years After Lagrange · 1991
Cited alongside, same era.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D
1993
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D