652 citations · 7.8k across the 90 of their papers we have counts for
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Thermodynamics of boosted Schwarzschild black holes
Glenn Barnich
The equilibrium thermodynamics of boosted Schwarzschild black holes is worked out in a concise way and shown to agree with expectations from relativistic thermodynamics.
Coadjoint representation of the BMS group on celestial Riemann surfaces
Glenn Barnich, Romain Ruzziconi
The coadjoint representation of the BMS group in four dimensions is constructed in a formulation that covers both the sphere and the punctured plane. The structure constants are wo…
Conserved currents in the Palatini formulation of general relativity
Glenn Barnich, Pujian Mao, Romain Ruzziconi
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to th…
BMS current algebra in the context of the Newman-Penrose formalism
Glenn Barnich, Pujian Mao, Romain Ruzziconi
Starting from an action principle adapted to the Newman-Penrose formalism, we provide a self-contained derivation of BMS current algebra, which includes the generalization of the B…
Conserved currents in the Cartan formulation of general relativity
Glenn Barnich, Pujian Mao, Romain Ruzziconi
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Cartan formulation of general relativity and explicitly show their equivalence to those of the…
Finite BMS transformations
Glenn Barnich, Cédric Troessaert
The action of finite BMS and Weyl transformations on the gravitational data at null infinity is worked out in three and four dimensions in the case of an arbitrary conformal factor…
Three-dimensional asymptotically flat Einstein-Maxwell theory
Glenn Barnich, Pierre-Henry Lambert, Pujian Mao
Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 a…
A 2D field theory equivalent to 3D gravity with no cosmological constant
Glenn Barnich, Andrés Gomberoff, Hernán A. González
In (2+1) space-time dimensions the Einstein theory of gravity has no local degrees of freedom. In fact, in the presence of a negative cosmological term, it is described by a (1+1)…
Asymptotic symmetries at null infinity and local conformal properties of spin coefficients
Glenn Barnich, Pierre-Henry Lambert
We show that the symmetry algebra of asymptotically flat four dimensional spacetimes at null infinity in the sense of Newman and Unti is isomorphic to the direct sum of the abelian…
The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
Glenn Barnich, Andrés Gomberoff, Hernán A. González
In order to get a better understanding of holographic properties of gravitational theories with a vanishing cosmological constant, we analyze in detail the relation between asympto…
Supertranslations call for superrotations
Glenn Barnich, Cédric Troessaert
We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincaré algebra. In three and fo…
A note on the Newman-Unti group and the BMS charge algebra in terms of Newman-Penrose coefficients
Glenn Barnich, Pierre-Henry Lambert
The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is…
The Coulomb solution as a coherent state of unphysical photons
Glenn Barnich
In the context of the problem of what micro-states are responsible for the entropy of black holes, we consider as a physical toy model the electromagnetic Coulomb solution. By quan…
Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
Glenn Barnich, Cedric Troessaert
It is argued that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semi-direct sum of supertranslations with infinites…
Surface charge algebra in gauge theories and thermodynamic integrability
Glenn Barnich, Geoffrey Compere
Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions…
Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
Glenn Barnich, Geoffrey Compere
The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelia…
Generalized Smarr relation for Kerr AdS black holes from improved surface integrals
G. Barnich, G. Compere
By using suitably improved surface integrals, we give a unified geometric derivation of the generalized Smarr relation for higher dimensional Kerr black holes which is valid both i…
Classification of surface charges for a spin 2 field on a curved background solution
Glenn Barnich, Serge Leclercq, Philippe Spindel
We give an explicit proof of the result that non trivial conserved n-2 forms for a spin 2 field on a background corresponding to a solution to Einstein's equation (with or without…
Asymptotically anti-de Sitter space-times: symmetries and conservation laws revisited
Glenn Barnich, Friedemann Brandt, Kim Claes
In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to…
Conserved charges in gravitational theories: contribution from scalar fields
Glenn Barnich
In order to illustrate a recently derived covariant formalism for computing asymptotic symmetries and asymptotically conserved superpotentials in gauge theories, the case of gravit…
Geometrical representation of Euclidean general relativity in the canonical formalism
Glenn Barnich, Viqar Husain
We give an SU(2) covariant representation of the constraints of Euclidean general relativity in the Ashtekar variables. The guiding principle is the use of triads to transform all…