R. Sachs, On the Characteristic Initial Value Problem in Gravitational Theory, Journal of Mathematical Physics, vol.1, issue.5, pp.908-914, 1962.
DOI : 10.1103/PhysRev.118.1100

H. Bondi, Gravitational Waves in General Relativity, Nature, vol.186, issue.4724, pp.4724-535, 1960.
DOI : 10.1038/186535a0

R. K. Sachs, Gravitational Waves in General Relativity. VIII. Waves in Asymptotically Flat Space-Time, Proc. Roy. Soc. Lond. A270, pp.103-126, 1962.
DOI : 10.1098/rspa.1962.0206

H. Bondi, M. G. Van-der-burg, and A. W. Metzner, Gravitational Waves in General Relativity: VII. Waves from Axisymmetric Isolated Systems, Proc. Roy. Soc. Lond, pp.269-290, 1962.
DOI : 10.1016/B978-0-08-017639-0.50015-7

E. Newman and R. Penrose, An Approach to Gravitational Radiation by a Method of Spin Coefficients, Journal of Mathematical Physics, vol.114, issue.3, pp.566-578, 1962.
DOI : 10.2307/2371734

R. Penrose, Golden Oldie: Null Hypersurface Initial Data for Classical Fields of Arbitrary Spin and for General Relativity, General Relativity and Gravitation, vol.248, issue.3, pp.63-56, 1963.
DOI : 10.1073/pnas.34.5.211

R. Penrose, Asymptotic Properties of Fields and Space-Times, Physical Review Letters, vol.124, issue.2, pp.66-68, 1963.
DOI : 10.1103/PhysRev.124.274

R. Penrose, Zero Rest-Mass Fields Including Gravitation: Asymptotic Behaviour, Proc. Roy. Soc. Lond. A284, 1965.
DOI : 10.1098/rspa.1965.0058

R. Geroch, Asymptotic structure of space-time, in Asymptotic Structure of Space-Time, 1977.

A. Ashtekar, Radiative degrees of freedom of the gravitational field in exact general relativity, Journal of Mathematical Physics, vol.22, issue.12, pp.2885-2895, 1981.
DOI : 10.1098/rspa.1968.0112

A. Ashtekar and M. Streubel, Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity, Proc. Roy. Soc. Lond. A376, pp.585-607, 1981.
DOI : 10.1098/rspa.1981.0109

A. Ashtekar, Geometry and Physics of Null Infinity, 1409, 1800.

R. M. Wald and A. Zoupas, General definition of ???conserved quantities??? in general relativity and other theories of gravity, Physical Review D, vol.17, issue.8, pp.61-084027, 2000.
DOI : 10.1088/0264-9381/17/2/101

A. Ashtekar and B. Krishnan, Isolated and dynamical horizons and their applications, Living Rev, Rel, vol.7, issue.10, 2004.
DOI : 10.12942/lrr-2004-10

URL : https://link.springer.com/content/pdf/10.12942%2Flrr-2004-10.pdf

A. Ashtekar, J. C. Baez, and K. Krasnov, Quantum geometry of isolated horizons and black hole entropy, Advances in Theoretical and Mathematical Physics, vol.4, issue.1, pp.1-94, 2000.
DOI : 10.4310/ATMP.2000.v4.n1.a1

A. Ghosh and A. Perez, Black Hole Entropy and Isolated Horizons Thermodynamics, Physical Review Letters, vol.7, issue.24, p.169901, 2011.
DOI : 10.1088/0264-9381/21/22/015

URL : https://hal.archives-ouvertes.fr/hal-00618578

A. Ashtekar, New Variables for Classical and Quantum Gravity, Physical Review Letters, vol.27, issue.18, pp.2244-2247, 1986.
DOI : 10.1063/1.527138

C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl, p.753, 1995.

A. Fuchs and M. P. Reisenberger, Integrable structures and the quantization of free null initial data for gravity, Classical and Quantum Gravity, vol.34, issue.18, pp.1704-06992
DOI : 10.1088/1361-6382/aa7d2b

S. Speziale and M. Zhang, Null twisted geometries, Physical Review D, vol.4, issue.8, pp.89-084070, 2014.
DOI : 10.1063/1.531210

URL : https://hal.archives-ouvertes.fr/hal-00990213

W. Wieland, Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum, Annales Henri Poincar??, vol.22, issue.10, pp.1706-00479
DOI : 10.1088/0264-9381/22/19/R01

S. Alexandrov and S. Speziale, First order gravity on the light front, Phys. Rev, vol.6057, issue.6, pp.91-064043, 1412.
DOI : 10.1103/physrevd.91.064043

URL : https://hal.archives-ouvertes.fr/hal-01052742

J. N. Goldberg, D. C. Robinson, and C. Soteriou, Null hypersurfaces and new variables, Null hypersurfaces and new variables, pp.1309-1328, 1992.
DOI : 10.1088/0264-9381/9/5/013

R. A. Inverno, P. Lambert, and J. A. Vickers, Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables, Class. Quant. Grav, vol.230604027, pp.3747-3762, 2006.

H. Friedrich, On purely radiative space-times, Communications In Mathematical Physics, vol.270, issue.1, pp.35-65, 1986.
DOI : 10.1007/BF01464281

S. Frittelli, C. Kozameh, and E. T. Newman, GR via characteristic surfaces, Journal of Mathematical Physics, vol.36, issue.9, pp.4984-5004, 1995.
DOI : 10.1063/1.531209

URL : http://arxiv.org/pdf/gr-qc/9502028

Y. Choquet-bruhat, P. T. Chrusciel, and J. M. Martin-garcia, The Cauchy Problem on a Characteristic Cone for the Einstein Equations in Arbitrary Dimensions, Annales Henri Poincar??, vol.8, issue.10, pp.419-482, 2011.
DOI : 10.1007/BF00765812

D. Christodoulou and S. Klainerman, The Global nonlinear stability of the Minkowski space

H. Friedrich, On the Regular and the Asymptotic Characteristic Initial Value Problem for Einstein's Vacuum Field Equations, Proc. Roy. Soc. Lond. A375, pp.169-184, 1981.
DOI : 10.1098/rspa.1981.0045

R. P. Geroch, Null infinity is not a good initial???data surface, Journal of Mathematical Physics, vol.270, issue.6, pp.1300-1303, 1978.
DOI : 10.1063/1.523716

R. A. Inverno and J. Smallwood, Covariant 2+2 formulation of the initial-value problem in general relativity, Phys. Rev, pp.22-1233, 1980.

C. G. Torre, Null surface geometrodynamics, Classical and Quantum Gravity, vol.3, issue.5, p.773, 1986.
DOI : 10.1088/0264-9381/3/5/008

M. P. Reisenberger, The symplectic 2-form for gravity in terms of free null initial data, Classical and Quantum Gravity, vol.30, issue.15, p.155022, 1211.
DOI : 10.1088/0264-9381/30/15/155022

A. Ashtekar, L. Bombelli, and O. Reula, The covariant phase space of asymptotically flat gravitational fields, in Analysis, geometry and mechanics: 200 years after, 1991.

J. Scherk and J. H. Schwarz, Gravitation in the light cone gauge, General Relativity and Gravitation, vol.3, issue.6, pp.537-550, 1975.
DOI : 10.1016/0370-2693(74)90059-8

D. Evens, G. Kunstatter, and C. Torre, Hamiltonian analysis of linearised gravity on a null plane, Classical and Quantum Gravity, vol.4, issue.6, pp.1503-1508, 1987.
DOI : 10.1088/0264-9381/4/6/009

K. Parattu, S. Chakraborty, B. R. Majhi, and T. Padmanabhan, A boundary term for the gravitational action with null boundaries, General Relativity and Gravitation, vol.43, issue.12, p.94, 2016.
DOI : 10.1007/s10714-011-1242-2

S. W. Hawking, M. J. Perry, and A. Strominger, Superrotation charge and supertranslation hair on black holes, Journal of High Energy Physics, vol.633, issue.5, pp.1611-09175
DOI : 10.1103/PhysRev.160.1113

URL : https://link.springer.com/content/pdf/10.1007%2FJHEP05%282017%29161.pdf

M. P. Reisenberger, The Poisson Bracket on Free Null Initial Data for Gravity, Physical Review Letters, vol.101, issue.21, pp.211101-0712, 2008.
DOI : 10.1098/rspa.1952.0158

F. Hopfmüller and L. Freidel, Gravity degrees of freedom on a null surface, Physical Review D, vol.59, issue.10, pp.1611-03096
DOI : 10.1103/PhysRevLett.85.3564

L. Lehner, R. C. Myers, E. Poisson, and R. D. Sorkin, Gravitational action with null boundaries, Physical Review D, vol.94, issue.8, pp.84046-1609, 2016.
DOI : 10.1103/PhysRevD.52.6982

URL : http://arxiv.org/pdf/1609.00207

I. Jubb, J. Samuel, R. Sorkin, and S. Surya, Boundary and corner terms in the action for general relativity, Classical and Quantum Gravity, vol.34, issue.6, p.65006, 2017.
DOI : 10.1088/1361-6382/aa6014

W. Wieland, New boundary variables for classical and quantum gravity on a null surface, Classical and Quantum Gravity, vol.34, issue.21, pp.1704-07391
DOI : 10.1088/1361-6382/aa8d06

N. Barros and . Sa, Hamiltonian analysis of general relativity with the Immirzi parameter, Int.J.Mod.Phys, vol.0006013, pp.10-261, 2001.

S. Yu, D. V. Alexandrov, and . Vassilevich, Path integral for the Hilbert-Palatini and Ashtekar gravity, Phys. Rev, vol.589806001, p.124029, 1998.

S. Alexandrov, )-covariant Ashtekar-Barbero gravity and the Immirzi parameter, Classical and Quantum Gravity, vol.17, issue.20, pp.4255-4268, 2000.
DOI : 10.1088/0264-9381/17/20/307

URL : http://arxiv.org/pdf/gr-qc/0005085v2.pdf

M. Henneaux and C. Teitelboim, Quantization of gauge systems, 1992.

S. Chandrasekhar, The mathematical theory of black holes, 1985.

E. T. Newman and K. P. Tod, Asymptotically flat space-times, in General Relativity and Gravitation: One Hundred Years After the Birth, 1981.

T. M. Adamo, C. N. Kozameh, and E. T. Newman, Null Geodesic Congruences, Asymptotically Flat Space-Times and Their Physical Interpretation, Living Rev, Rel, vol.1215, issue.6, p.1, 2009.
DOI : 10.12942/lrr-2009-6

URL : https://doi.org/10.12942/lrr-2009-6

S. Alexandrov, The Immirzi parameter and fermions with non-minimal coupling, Classical and Quantum Gravity, vol.25, issue.14, pp.145012-0802, 2008.
DOI : 10.1088/0264-9381/25/14/145012

URL : http://arxiv.org/pdf/0802.1221

T. Thiemann, Modern canonical quantum general relativity, 2001.
DOI : 10.1017/CBO9780511755682

S. Alexandrov, E. R. Livine, and . Su, loop quantum gravity seen from covariant theory, Physical Review D, vol.3, issue.4, p.44009, 2003.
DOI : 10.4310/ATMP.1999.v3.n5.a3

URL : https://hal.archives-ouvertes.fr/hal-00008367

S. Alexandrov and Z. Kadar, Timelike surfaces in Lorentz covariant loop gravity and spin foam models, Classical and Quantum Gravity, vol.22, issue.17, pp.3491-3510, 2005.
DOI : 10.1088/0264-9381/22/17/010

URL : https://hal.archives-ouvertes.fr/hal-00009307

E. T. Newman and T. W. Unti, Behavior of Asymptotically Flat Empty Spaces, Journal of Mathematical Physics, vol.3, issue.5, p.891, 1962.
DOI : 10.1063/1.1724304

P. Luz and V. Vitagliano, Raychaudhuri equation in spacetimes with torsion, Physical Review D, vol.96, issue.2, p.24021, 2017.
DOI : 10.1103/PhysRevD.58.044021

I. Rácz, Stationary black holes as holographs II, Classical and Quantum Gravity, vol.31, issue.3, pp.31-035006, 2014.
DOI : 10.1088/0264-9381/31/3/035006

S. Hawking, Gravitational Radiation in an Expanding Universe, Journal of Mathematical Physics, vol.9, issue.4, pp.598-604, 1968.
DOI : 10.1103/PhysRevLett.10.66