Built on

S. Bhattacharjee, S. Kumar and A. Bhattacharyya, Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves , Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
L. Freidel, E. R. Livine and D. Pranzetti, Gravitational edge modes: from Kac-Moody charges to Poincaré networks , Class. Quant. Grav. 36
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
H. Godazgar, M. Godazgar and C. Pope, Dual gravitational charges and soft theorems , JHEP 10
Original
1908
Earlier work this paper cites.
L. Freidel, E. R. Livine and D. Pranzetti, Kinematical Gravitational Charge Algebra , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
G. Barnich, P. Mao and R. Ruzziconi, BMS current algebra in the context of the Newman–Penrose formalism , Class. Quant. Grav. 37
Original
1910
Earlier work this paper cites.
M. Pate, A.-M. Raclariu, A. Strominger and E. Y. Yuan, Celestial operator products of gluons and gravitons , Rev. Math. Phys. 33
Original
1910
Earlier work this paper cites.
A. Einstein, The Foundation of the General Theory of Relativity , Annalen Phys. 49
1916
Earlier work this paper cites.
E. Noether, Invariant Variation Problems , Gott. Nachr. 1918
1918
Earlier work this paper cites.
H. Bondi, Gravitational Waves in General Relativity , Nature 186
1960
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems , Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
R. Sachs, On the characteristic initial value problem in gravitational theory , J.Math.Phys. 3
1962
Earlier work this paper cites.
E. Newman and R. Penrose, An approach to gravitational radiation by a method of spin coefficients , J.Math.Phys. 3
1962
Earlier work this paper cites.
E. T. Newman and T. W. J. Unti, Behavior of Asymptotically Flat Empty Spaces , J. Math. Phys. 3
1962
Earlier work this paper cites.
R. K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times , Proc. Roy. Soc. Lond. A270
1962
Earlier work this paper cites.
P. C. Aichelburg and H. Balasin, Symmetries of impulsive gravitational waves , Helv. Phys. Acta 69
1966
Earlier work this paper cites.
P. Szekeres, Colliding gravitational waves , Nature 228
1970
Earlier work this paper cites.
K. A. Khan and R. Penrose, Scattering of two impulsive gravitational plane waves , Nature 229
1971
Earlier work this paper cites.
R. Penrose, The geometry of impulsive gravitational waves , Part of General relativity : Papers in honour of J.L. Synge, (1972) 101–115
1972
Earlier work this paper cites.
Y. Nutku and M. Halil, Colliding Impulsive Gravitational Waves , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole , Commun. Math. Phys. 99
1985
Earlier work this paper cites.
S. Chandrasekhar and B. C. Xanthopoulos, A New Type of Singularity Created by Colliding Gravitational Waves , Proc. Roy. Soc. Lond. A 408
1986
Earlier work this paper cites.

Similar

T. Dray and G. ’t Hooft, The Gravitational Effect of Colliding Planar Shells of Matter , Class. Quant. Grav. 3
1986
Cited alongside, same era.
P. A. Hogan, A Spherical impulse gravity wave , Phys. Rev. Lett. 70
1993
Cited alongside, same era.
A. N. Aliev and Y. Nutku, Impulsive spherical gravitational waves , Class. Quant. Grav. 18
2001
Cited alongside, same era.
J. Podolsky and R. Steinbauer, Geodesics in space-times with expanding impulsive gravitational waves , Phys. Rev. D 67
2003
Cited alongside, same era.
L. Freidel, M. Geiller and D. Pranzetti, Edge modes of gravity - I: Corner potentials and charges , [ 2006.12527 ]
Original
2006
Cited alongside, same era.
L. Freidel, M. Geiller and D. Pranzetti, Edge modes of gravity - II: Corner metric and Lorentz charges , [ 2007.03563 ]

Then

W. Donnelly and L. Freidel, Local subsystems in gauge theory and gravity , JHEP 09
Original
2016
Later among the works it cites.
G. Barnich and C. Troessaert, Finite BMS transformations , JHEP 03
Original
2016
Later among the works it cites.
T. Mädler and J. Winicour, Bondi-Sachs Formalism , Scholarpedia 11
Original
2016
Later among the works it cites.
G. Compère and J. Long, Vacua of the gravitational field , JHEP 07
Original
2016
Later among the works it cites.
T. He, P. Mitra and A. Strominger, 2D Kac-Moody Symmetry of 4D Yang-Mills Theory , JHEP 10
Original
2016

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2021

Gravity from symmetry: Duality and impulsive waves

Freidel, Laurent, Pranzetti, Daniele

Understand

We show that we can derive the asymptotic Einstein's equations that arises at order $1/r$ in asymptotically flat gravity purely from symmetry considerations.

This is achieved by studying the transformation properties of functionals of the metric and the stress-energy tensor under the action of the Weyl BMS group, a recently introduced asymptotic symmetry group that includes arbitrary diffeomorphisms and local conformal transformations of the metric on the 2-sphere.
Our derivation, which encompasses the inclusion of matter sources, leads to the identification of covariant observables that provide a definition of conserved charges parametrizing the non-radiative corner phase space.
These observables, related to the Weyl scalars, reveal a duality symmetry and a spin-2 generator which allow us to recast the asymptotic evolution equations in a simple and elegant form as conservation equations for a null fluid living at null infinity.

Built on

S. Bhattacharjee, S. Kumar and A. Bhattacharyya, Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves , Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
L. Freidel, E. R. Livine and D. Pranzetti, Gravitational edge modes: from Kac-Moody charges to Poincaré networks , Class. Quant. Grav. 36
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
H. Godazgar, M. Godazgar and C. Pope, Dual gravitational charges and soft theorems , JHEP 10
Original
1908
Earlier work this paper cites.
L. Freidel, E. R. Livine and D. Pranzetti, Kinematical Gravitational Charge Algebra , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
G. Barnich, P. Mao and R. Ruzziconi, BMS current algebra in the context of the Newman–Penrose formalism , Class. Quant. Grav. 37
Original
1910
Earlier work this paper cites.
M. Pate, A.-M. Raclariu, A. Strominger and E. Y. Yuan, Celestial operator products of gluons and gravitons , Rev. Math. Phys. 33
Original
1910
Earlier work this paper cites.
A. Einstein, The Foundation of the General Theory of Relativity , Annalen Phys. 49
1916
Earlier work this paper cites.
E. Noether, Invariant Variation Problems , Gott. Nachr. 1918
1918
Earlier work this paper cites.
H. Bondi, Gravitational Waves in General Relativity , Nature 186
1960
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems , Proc. Roy. Soc. Lond. A269
1962
Earlier work this paper cites.
R. Sachs, On the characteristic initial value problem in gravitational theory , J.Math.Phys. 3
1962
Earlier work this paper cites.
E. Newman and R. Penrose, An approach to gravitational radiation by a method of spin coefficients , J.Math.Phys. 3
1962
Earlier work this paper cites.
E. T. Newman and T. W. J. Unti, Behavior of Asymptotically Flat Empty Spaces , J. Math. Phys. 3
1962
Earlier work this paper cites.
R. K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times , Proc. Roy. Soc. Lond. A270
1962
Earlier work this paper cites.
P. C. Aichelburg and H. Balasin, Symmetries of impulsive gravitational waves , Helv. Phys. Acta 69
1966
Earlier work this paper cites.
P. Szekeres, Colliding gravitational waves , Nature 228
1970
Earlier work this paper cites.
K. A. Khan and R. Penrose, Scattering of two impulsive gravitational plane waves , Nature 229
1971
Earlier work this paper cites.
R. Penrose, The geometry of impulsive gravitational waves , Part of General relativity : Papers in honour of J.L. Synge, (1972) 101–115
1972
Earlier work this paper cites.
Y. Nutku and M. Halil, Colliding Impulsive Gravitational Waves , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Earlier work this paper cites.
T. Dray and G. ’t Hooft, The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole , Commun. Math. Phys. 99
1985
Earlier work this paper cites.
S. Chandrasekhar and B. C. Xanthopoulos, A New Type of Singularity Created by Colliding Gravitational Waves , Proc. Roy. Soc. Lond. A 408
1986
Earlier work this paper cites.

Similar

T. Dray and G. ’t Hooft, The Gravitational Effect of Colliding Planar Shells of Matter , Class. Quant. Grav. 3
1986
Cited alongside, same era.
P. A. Hogan, A Spherical impulse gravity wave , Phys. Rev. Lett. 70
1993
Cited alongside, same era.
A. N. Aliev and Y. Nutku, Impulsive spherical gravitational waves , Class. Quant. Grav. 18
2001
Cited alongside, same era.
J. Podolsky and R. Steinbauer, Geodesics in space-times with expanding impulsive gravitational waves , Phys. Rev. D 67
2003
Cited alongside, same era.
L. Freidel, M. Geiller and D. Pranzetti, Edge modes of gravity - I: Corner potentials and charges , [ 2006.12527 ]
Original
2006
Cited alongside, same era.
L. Freidel, M. Geiller and D. Pranzetti, Edge modes of gravity - II: Corner metric and Lorentz charges , [ 2007.03563 ]