Generalized BMS algebra at timelike infinity

被引:5
作者
Anupam, A. H. [1 ]
Khairnar, Aniket [2 ,3 ]
Kundu, Arpan [1 ]
机构
[1] Homi Bhabha Natl Inst HBNI, Inst Math Sci, 4 Cross Rd,CIT Campus, Chennai 600113, Tamil Nadu, India
[2] Univ Mississippi, Dept Phys & Astron, Oxford, MS 38677 USA
[3] Indian Inst Sci Educ & Res, Dept Phys, Dr Homi Bhabha Rd, Pune 411008, Maharashtra, India
关键词
GRAVITATIONAL WAVES; SYMMETRIES; RELATIVITY;
D O I
10.1103/PhysRevD.103.104030
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
BMS (Bondi-Metzner-Sachs) group (and its various generalizations) at null infinity has been studied extensively in the literature as the symmetry group of asymptotically flat spacetimes. The intricate relationship between soft theorems and the BMS symmetries has also motivated the definition of such asymptotic symmetries to timelike infinity [M. Campiglia, Null to time-like infinity Green's functions for asymptotic symmetries in Minkowski spacetime, J. High Energy Phys. 11 (2015) 160.]. Although the vector fields that generate the (generalized) BMS algebra at timelike infinity were defined in the literature, the algebra has not been investigated. In this paper. we fill this gap. We show that the supertranslations and vector fields that generate sphere diffeomorphisms close under the modified Lie bracket proposed by Barnich and Troessaert [Aspects of the BMS/CFT correspondence, J. High Energy Phys. 05 (2010) 062.].
引用
收藏
页数:14
相关论文
共 22 条
[1]   On the structure and applications of the Bondi-Metzner-Sachs group [J].
Alessio, Francesco ;
Esposito, Giampiero .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (02)
[2]   Null infinity, the BMS group and infrared issues [J].
Ashtekar, Abhay ;
Campiglia, Miguel ;
Laddha, Alok .
GENERAL RELATIVITY AND GRAVITATION, 2018, 50 (11)
[3]   Aspects of the BMS/CFT correspondence [J].
Barnich, Glenn ;
Troessaert, Cedric .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (05)
[4]   Canonical realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry [J].
Batlle, Carles ;
Campello, Victor ;
Gomis, Joaquim .
PHYSICAL REVIEW D, 2017, 96 (02)
[5]   GRAVITATIONAL WAVES IN GENERAL RELATIVITY .7. WAVES FROM AXI-SYMMETRIC ISOLATED SYSTEMS [J].
BONDI, H ;
VANDERBU.MG ;
METZNER, AWK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 269 (1336) :21-&
[6]  
Cachazo F., ARXIV14044091
[7]   Sub-subleading soft gravitons: New symmetries of quantum gravity? [J].
Campiglia, Miguel ;
Laddha, Alok .
PHYSICS LETTERS B, 2017, 764 :218-221
[8]   Sub-subleading soft gravitons and large diffeomorphisms [J].
Campiglia, Miguel ;
Laddha, Alok .
JOURNAL OF HIGH ENERGY PHYSICS, 2017, (01)
[9]   Asymptotic symmetries of gravity and soft theorems for massive particles [J].
Campiglia, Miguel ;
Laddha, Alok .
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (12) :1-25
[10]   Null to time-like infinity Green's functions for asymptotic symmetries in Minkowski spacetime [J].
Campiglia, Miguel .
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (11) :1-13