Conserved charges of the extended Bondi-Metzner-Sachs algebra

By '. Flanagan, D. Nichols. 2015

214 citations recorded by the source corpus.

Isolated objects in asymptotically flat spacetimes in general relativity are characterized by their conserved charges associated with the Bondi-Metzner-Sachs (BMS) group. These charges include total energy, linear momentum, intrinsic angular momentum and center-of-mass location, and, in addition, an infinite number of supermomentum charges associated with supertranslations. Recently, it has been suggested that the BMS symmetry algebra should be enlarged to include an infinite number of additional symmetries known as superrotations. We show that the corresponding charges are finite and well defined, and can be divided into electric parity "super center-of-mass" charges and magnetic parity "superspin" charges. The supermomentum charges are associated with ordinary gravitational-wave memory, and the super center-of-mass charges are associated with total (ordinary plus null) gravitational-wave memory, in the terminology of Bieri and Garfinkle. Superspin charges are associated with the ordinary piece of spin memory. Some of these charges can give rise to black-hole hair, as described by Strominger and Zhiboedov. We clarify how this hair evades the no-hair theorems.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/88f9aebd00e532e908b85e9efbbfbb2492ad2f76

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Citations in the corpus

Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, methodology): “in (5.17). The innitesimal surface charges can therefore be written as {H ˘ rg;gsHintrgs ˘rg;gs (5.39) 22 where we dened the integrated charge as in Barnich-Troessaert [21] or Flanagan-Nichols [40] Hint ˘ rgs 1 16ˇG d2 4fM 2YAN A 1 16 YAD ApC BCC BCq (5.40) but where YA is now an arbitrary vector. ”
Superrotation charge and supertranslation hair on black holes (2016, background): “18 (16)Similar observations were made in [27] and in the context of the membrane paradigm in [30, 44].”
Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”