메뉴 건너뛰기




Volumn 18, Issue 24, 2001, Pages 5487-5510

On certain quasi-local spin-angular momentum expressions for large spheres near the null infinity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035930376     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/18/24/312     Document Type: Article
Times cited : (10)

References (56)
  • 1
    • 0003295225 scopus 로고
    • Asymptotic structure of spacetime
    • ed F P Esposito and L Witten (New York: Plenum)
    • Geroch R 1977 Asymptotic structure of spacetime Asymptotic Structure of Spacetime ed F P Esposito and L Witten (New York: Plenum)
    • (1977) Asymptotic Structure of Spacetime
    • Geroch, R.1
  • 2
    • 0000973997 scopus 로고
    • Role of surface integrals in the hamiltonian formulation of general relativity
    • Regge T and Teitelboim C 1974 Role of surface integrals in the Hamiltonian formulation of general relativity Ann. Phys. (NY) 88 286
    • (1974) Ann. Phys. (NY) , vol.88 , pp. 286
    • Regge, T.1    Teitelboim, C.2
  • 3
    • 0000870394 scopus 로고
    • The poincarè group as the symmetry group of canonical general relativity
    • Beig R and Murchadha N Ó 1987 The Poincarè group as the symmetry group of canonical general relativity Ann. Phys. (NY) 174 463
    • (1987) Ann. Phys. (NY) , vol.174 , pp. 463
    • Beig, R.1    Murchadha, N.Ó.2
  • 4
    • 0033239067 scopus 로고    scopus 로고
    • Angular momentum and positive mass theorem
    • Zhang X 1999 Angular momentum and positive mass theorem Commun. Math. Phys. 206 137
    • (1999) Commun. Math. Phys. , vol.206 , pp. 137
    • Zhang, X.1
  • 5
    • 0007331779 scopus 로고
    • Lorentz covariant gravitational energy-momentum linkages
    • Winicour J and Tamburino L 1965 Lorentz covariant gravitational energy-momentum linkages Phys. Rev. Lett. 15 601
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 601
    • Winicour, J.1    Tamburino, L.2
  • 6
    • 0007331780 scopus 로고
    • Equations of motion for the sources of asymptotically flat spaces
    • Lind R W, Messmer J and Newman E T 1972 Equations of motion for the sources of asymptotically flat spaces J. Math. Phys. 13 1884
    • (1972) J. Math. Phys. , vol.13 , pp. 1884
    • Lind, R.W.1    Messmer, J.2    Newman, E.T.3
  • 7
    • 36749108603 scopus 로고
    • Linkages in general relativity
    • Geroch R and Winicour J 1981 Linkages in general relativity J. Math. Phys. 22 803
    • (1981) J. Math. Phys. , vol.22 , pp. 803
    • Geroch, R.1    Winicour, J.2
  • 8
    • 0001294981 scopus 로고
    • Symplectic geometry of radiative modes and conserved quantities at null infinity
    • Ashtekar A and Streubel M 1981 Symplectic geometry of radiative modes and conserved quantities at null infinity Proc. R. Soc. A 376 585
    • (1981) Proc. R. Soc. A , vol.376 , pp. 585
    • Ashtekar, A.1    Streubel, M.2
  • 9
    • 36749109096 scopus 로고
    • Linkages and Hamiltonians at null infinity
    • Ashtekar A and Winicour J 1982 Linkages and Hamiltonians at null infinity J. Math. Phys. 23 2410
    • (1982) J. Math. Phys. , vol.23 , pp. 2410
    • Ashtekar, A.1    Winicour, J.2
  • 10
    • 0017503153 scopus 로고
    • Angular momentum in general relativity I. Definition and asymptotic behaviour
    • Prior C R 1977 Angular momentum in general relativity I. Definition and asymptotic behaviour Proc. R. Soc. A 354 379
    • (1977) Proc. R. Soc. A , vol.354 , pp. 379
    • Prior, C.R.1
  • 11
    • 0001548791 scopus 로고
    • 'conserved' quantities for isolated gravitational systems
    • Streubel M 1978 'Conserved' quantities for isolated gravitational systems Gen. Rel. Grav. 9 551
    • (1978) Gen. Rel. Grav. , vol.9 , pp. 551
    • Streubel, M.1
  • 12
    • 0002316751 scopus 로고
    • Quasi-local mass and angular momentum in general relativity
    • Penrose R 1982 Quasi-local mass and angular momentum in general relativity Proc. R. Soc. A 381 53
    • (1982) Proc. R. Soc. A , vol.381 , pp. 53
    • Penrose, R.1
  • 13
    • 0001025838 scopus 로고
    • On angular momentum at future null infinity
    • Moreschi O M 1986 On angular momentum at future null infinity Class. Quantum Grav. 3 503
    • (1986) Class. Quantum Grav. , vol.3 , pp. 503
    • Moreschi, O.M.1
  • 14
    • 0001624449 scopus 로고
    • Supercentre of mass system at future null infinity
    • Moreschi O M 1988 Supercentre of mass system at future null infinity Class. Quantum Grav. 5 423
    • (1988) Class. Quantum Grav. , vol.5 , pp. 423
    • Moreschi, O.M.1
  • 15
    • 0034341035 scopus 로고    scopus 로고
    • General existence proof for rest frame systems in asymptotically flat spacetime
    • Dain S and Moreschi O M 2000 General existence proof for rest frame systems in asymptotically flat spacetime Class. Quantum Grav. 17 3663
    • (2000) Class. Quantum Grav. , vol.17 , pp. 3663
    • Dain, S.1    Moreschi, O.M.2
  • 18
    • 4243582105 scopus 로고
    • Symplectic geometry of null infinity and two-surface twistors
    • Shaw W T 1984 Symplectic geometry of null infinity and two-surface twistors Class. Quantum Grav. 1 L33
    • (1984) Class. Quantum Grav. , vol.1
    • Shaw, W.T.1
  • 19
    • 4243698837 scopus 로고
    • Momentum flux at null infinity
    • Dray T 1985 Momentum flux at null infinity Class. Quantum Grav. 2 L7
    • (1985) Class. Quantum Grav. , vol.2
    • Dray, T.1
  • 20
    • 38249018216 scopus 로고
    • The angular momentum of gravitational radiation
    • Helfer A D 1990 The angular momentum of gravitational radiation Phys. Lett. A 150 342
    • (1990) Phys. Lett. A , vol.150 , pp. 342
    • Helfer, A.D.1
  • 21
    • 36149012020 scopus 로고
    • Spin and angular momentum in general relativity
    • Bergmann P G and Thomson R 1953 Spin and angular momentum in general relativity Phys. Rev. 89 400
    • (1953) Phys. Rev. , vol.89 , pp. 400
    • Bergmann, P.G.1    Thomson, R.2
  • 22
    • 0000011313 scopus 로고
    • Relativistic angular momentum for asymptotically flat Einstein-Maxwell manifolds
    • Bramson B D 1975 Relativistic angular momentum for asymptotically flat Einstein-Maxwell manifolds Proc. R. Soc. A 341 463
    • (1975) Proc. R. Soc. A , vol.341 , pp. 463
    • Bramson, B.D.1
  • 23
    • 0018052040 scopus 로고
    • The invariance of spin
    • Bramson B D 1978 The invariance of spin Proc. R. Soc. A 364 383
    • (1978) Proc. R. Soc. A , vol.364 , pp. 383
    • Bramson, B.D.1
  • 24
    • 0040284732 scopus 로고
    • Physics in cone space
    • ed P Esposito and L Witten (New York: Plenum)
    • Bramson B D 1976 Physics in cone space Asymptotic Structure of Spacetime ed P Esposito and L Witten (New York: Plenum)
    • (1976) Asymptotic Structure of Spacetime
    • Bramson, B.D.1
  • 25
    • 0031495046 scopus 로고    scopus 로고
    • On global conservation laws at null infinity
    • Katz J and Lerer D 1997 On global conservation laws at null infinity Class. Quantum Grav. 14 2249
    • (1997) Class. Quantum Grav. , vol.14 , pp. 2249
    • Katz, J.1    Lerer, D.2
  • 26
    • 10844258555 scopus 로고    scopus 로고
    • Angular momentum in general relativity: A new definition
    • Rizzi A 1998 Angular momentum in general relativity: a new definition Phys. Rev. Lett. 81 1150
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1150
    • Rizzi, A.1
  • 27
    • 85037922880 scopus 로고    scopus 로고
    • Angular momentum in general relativity: The definition at null infinity includes the spatial definition as a special case
    • Rizzi A 2001 Angular momentum in general relativity: the definition at null infinity includes the spatial definition as a special case Phys. Rev. D 63 104002
    • (2001) Phys. Rev. D , vol.63 , pp. 104002
    • Rizzi, A.1
  • 28
    • 0033447379 scopus 로고    scopus 로고
    • Quasi-local quantities for general relativity and other gravity theories
    • Chen C-M and Nester J M 1999 Quasi-local quantities for general relativity and other gravity theories Class. Quantum Grav. 16 1279
    • (1999) Class. Quantum Grav. , vol.16 , pp. 1279
    • Chen, C.-M.1    Nester, J.M.2
  • 29
    • 23244444812 scopus 로고
    • Quasi-local energy and conserved charges derived from the gravitational action
    • Brown J D and York J W 1993 Quasi-local energy and conserved charges derived from the gravitational action Phys. Rev. D 47 1407
    • (1993) Phys. Rev. D , vol.47 , pp. 1407
    • Brown, J.D.1    York, J.W.2
  • 31
    • 18144414307 scopus 로고    scopus 로고
    • Lightcone reference for total gravitational energy
    • Lau S R 1999 Lightcone reference for total gravitational energy Phys. Rev. D 60 104034
    • (1999) Phys. Rev. D , vol.60 , pp. 104034
    • Lau, S.R.1
  • 32
    • 17044394652 scopus 로고    scopus 로고
    • Canonical quasi-local energy and small spheres
    • Brown J D, Lau S R and York J W 1999 Canonical quasi-local energy and small spheres Phys. Rev. D 59 064028
    • (1999) Phys. Rev. D , vol.59 , pp. 64028
    • Brown, J.D.1    Lau, S.R.2    York, J.W.3
  • 33
    • 85037207252 scopus 로고    scopus 로고
    • Angular momentum and an invariant quasi-local energy in general relativity
    • Epp R J 2000 Angular momentum and an invariant quasi-local energy in general relativity Phys. Rev. D 62 124018
    • (2000) Phys. Rev. D , vol.62 , pp. 124018
    • Epp, R.J.1
  • 34
    • 0001379512 scopus 로고
    • Momentum, angular momentum and their quasi-local null surface extensions
    • Ludvigsen M and Vickers J A G 1983 Momentum, angular momentum and their quasi-local null surface extensions J. Phys. A: Math. Gen. 16 1155
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 1155
    • Ludvigsen, M.1    Vickers, J.A.G.2
  • 35
    • 0001247807 scopus 로고
    • Quasilocal mass constructions with positive energy
    • Dougan A J and Mason L J 1991 Quasilocal mass constructions with positive energy Phys. Rev. Lett. 67 2119
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 2119
    • Dougan, A.J.1    Mason, L.J.2
  • 36
    • 21344458360 scopus 로고    scopus 로고
    • Quasi-local energy-momentum and two-surface characterization of the pp-wave spacetimes
    • Szabados L B 1996 Quasi-local energy-momentum and two-surface characterization of the pp-wave spacetimes Class. Quantum Grav. 13 1661
    • (1996) Class. Quantum Grav. , vol.13 , pp. 1661
    • Szabados, L.B.1
  • 37
    • 0033240884 scopus 로고    scopus 로고
    • On certain quasi-local spin-angular momentum expressions for small spheres
    • Szabados L B 1999 On certain quasi-local spin-angular momentum expressions for small spheres Class. Quantum Grav. 16 2889
    • (1999) Class. Quantum Grav. , vol.16 , pp. 2889
    • Szabados, L.B.1
  • 38
    • 0001329853 scopus 로고
    • The asymptopia of quasi-local mass and momentum I. General formalism and stationary spacetimes
    • Shaw W T 1986 The asymptopia of quasi-local mass and momentum I. General formalism and stationary spacetimes Class. Quantum Grav. 3 1069
    • (1986) Class. Quantum Grav. , vol.3 , pp. 1069
    • Shaw, W.T.1
  • 39
    • 21144480308 scopus 로고
    • Quasi-local mass for spheres
    • Dougan A J 1992 Quasi-local mass for spheres Class. Quantum Grav. 9 2461
    • (1992) Class. Quantum Grav. , vol.9 , pp. 2461
    • Dougan, A.J.1
  • 40
    • 0003884305 scopus 로고
    • Cambridge: Cambridge University Press
    • Penrose R and Rindler W Spinors and Spacetime vols 1 and 2 (Cambridge: Cambridge University Press) 1982 and 1986
    • (1982) Spinors and Spacetime , vol.1-2
    • Penrose, R.1    Rindler, W.2
  • 41
    • 0039315859 scopus 로고
    • Conservation laws and absolute parallelism in general relativity
    • Møller C 1961 Conservation laws and absolute parallelism in general relativity Mat. Fys. Skr. Dan. Vid. Selsk. 1 10
    • (1961) Mat. Fys. Skr. Dan. Vid. Selsk. , vol.1 , pp. 10
    • Møller, C.1
  • 42
    • 0003565551 scopus 로고
    • Canonical pseudotensors, Sparling's form and Noether currents
    • 1991-29/B
    • Szabados L B 1991 Canonical pseudotensors, Sparling's form and Noether currents, KFKI Report, 1991-29/B
    • (1991) KFKI Report
    • Szabados, L.B.1
  • 43
    • 21144471791 scopus 로고
    • On canonical pseudotensors, Sparling's form and noether currents
    • Szabados L B 1992 On canonical pseudotensors, Sparling's form and Noether currents Class. Quantum Grav. 9 2521
    • (1992) Class. Quantum Grav. , vol.9 , pp. 2521
    • Szabados, L.B.1
  • 44
  • 46
    • 21144473777 scopus 로고
    • On the positivity of the quasi-local mass
    • Szabados L B 1993 On the positivity of the quasi-local mass Class. Quantum Grav. 10 1899
    • (1993) Class. Quantum Grav. , vol.10 , pp. 1899
    • Szabados, L.B.1
  • 47
    • 21344475863 scopus 로고
    • Two dimensional Sen connections and quasi-local energy-momentum
    • Szabados L B 1994 Two dimensional Sen connections and quasi-local energy-momentum Class. Quantum Grav. 11 1847
    • (1994) Class. Quantum Grav. , vol.11 , pp. 1847
    • Szabados, L.B.1
  • 48
    • 0001763234 scopus 로고
    • New conservation laws for zero-mass fields in asymptotically flat spacetime
    • Newman E T and Penrose R 1968 New conservation laws for zero-mass fields in asymptotically flat spacetime, Proc. R. Soc. A 305 175
    • (1968) Proc. R. Soc. A , vol.305 , pp. 175
    • Newman, E.T.1    Penrose, R.2
  • 50
    • 0035529337 scopus 로고    scopus 로고
    • The kernel of the edth operators on higher-genus spacelike 2-surfaces
    • Frauendiener J and Szabados L B 2001 The kernel of the edth operators on higher-genus spacelike 2-surfaces Class. Quantum Grav. 18 1003
    • (2001) Class. Quantum Grav. , vol.18 , pp. 1003
    • Frauendiener, J.1    Szabados, L.B.2
  • 51
    • 21344478326 scopus 로고
    • Two dimensional Sen connections in general relativity
    • Szabados L B 1994 Two dimensional Sen connections in general relativity Class. Quantum Grav. 11 1833
    • (1994) Class. Quantum Grav. , vol.11 , pp. 1833
    • Szabados, L.B.1
  • 52
    • 0001630717 scopus 로고
    • A space-time calculus based on pairs of null directions
    • Geroch R, Held A and Penrose R 1973 A space-time calculus based on pairs of null directions J. Math. Phys. 14 874
    • (1973) J. Math. Phys. , vol.14 , pp. 874
    • Geroch, R.1    Held, A.2    Penrose, R.3
  • 53
    • 0000011312 scopus 로고
    • The alignment of frames of reference at null infinity for asymptotically flat Einstein-Maxwell manifolds
    • Bramson B D 1975 The alignment of frames of reference at null infinity for asymptotically flat Einstein-Maxwell manifolds Proc. R. Soc. A 341 451
    • (1975) Proc. R. Soc. A , vol.341 , pp. 451
    • Bramson, B.D.1
  • 55
    • 34250793805 scopus 로고
    • An inequality relating total mass and the area of a trapped surface in general relativity
    • Ludvigsen M and Vickers J A G 1983 An inequality relating total mass and the area of a trapped surface in general relativity J. Phys. A.: Math. Gen. 16 3349
    • (1983) J. Phys. A.: Math. Gen. , vol.16 , pp. 3349
    • Ludvigsen, M.1    Vickers, J.A.G.2
  • 56
    • 0001443659 scopus 로고
    • A relation between local and total energy in general relativity
    • Horowitz G T and Tod K P 1982 A relation between local and total energy in general relativity Commun. Math. Phys. 85 429
    • (1982) Commun. Math. Phys. , vol.85 , pp. 429
    • Horowitz, G.T.1    Tod, K.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.