Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

General structure of the solutions of the Hamiltonian constraints of gravity

dc.contributor.authorFernández-Rañada, Antonio
dc.date.accessioned2023-06-20T03:38:47Z
dc.date.available2023-06-20T03:38:47Z
dc.date.issued2009-06
dc.description© World Scientific Publishing. We acknowledge Dr. R. Tresguerres for useful discussions and to Dr. B. Coll for interesting suggestions on the intrinsic definition of the different classes. J. Martin is in debt to Junta de Castilla y León for the financial support.
dc.description.abstractA general framework for the solutions of the constraints of pure gravity is constructed. It provides with well defined mathematical criteria to classify their solutions in four classes. Complete families of solutions are obtained in some cases. A starting point for the systematic study of the solutions of Einstein gravity is suggested.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipJunta de Castilla y León
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24904
dc.identifier.doi10.1142/S0219887809003734
dc.identifier.issn0219-8878
dc.identifier.officialurlhttp://dx.doi.org/10.1142/S0219887809003734
dc.identifier.relatedurlhttp://www.worldscientific.com
dc.identifier.relatedurlhttp://arxiv.org/abs/0709.0884
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44145
dc.issue.number4
dc.journal.titleInternational Journal of Geometric Methods in Modern Physics
dc.language.isoeng
dc.page.final644
dc.page.initial631
dc.publisherWorld Scientific
dc.rights.accessRightsopen access
dc.subject.cdu537
dc.subject.keywordGauge-Theory
dc.subject.keywordRelativity
dc.subject.keywordFormulation
dc.subject.keywordVariables
dc.subject.keywordSpin.
dc.subject.ucmElectricidad
dc.subject.ucmElectrónica (Física)
dc.subject.unesco2202.03 Electricidad
dc.titleGeneral structure of the solutions of the Hamiltonian constraints of gravity
dc.typejournal article
dc.volume.number6
dcterms.references[1] Arnowit, R., Deser, S., Misner, C. W., Phys. Rev., 117, 1595 (1960). [2] Arnowit, R., Deser, S., Misner, C. W., “The dynamics of general relativity” in Gravitation: an introduction to current research, Wiley, New York (1962), pp. 227-265. [3] De Witt, B. S., Phys. Rev., 160, 1113 (1967). [4] A. Lichnerowicz, Thèse d’État, Université de Paris, Paris (1939). [5] A. Lichnerowicz, Journal de Mathématiques Pures et Appliquées, 23, 37 (1944). [6] Y. Choquet–Bruhat, Comptes Rendues de l’Académie des Sciences, 226, 1071 (1948). [7] Y. Choquet–Bruhat, Journal of Rational Mechanics and Analysis, 5, 951 (1956). [8] De Witt, B. S., Phys. Rev. Lett, 13, 114. [9] Misner, C. W., and Thorne, K. S., and Wheeler, J. A., Gravitation, (Freeman, St. Francisco, (1973). [10] Hehl, F. W., Von Der Hayde, P., Kerlick, G. D., Nester, J. M., Rev. Mod. Phys., 48, 393 (1976). [11] Gonwald, F., Hehl, F. W., “On gauge aspects of Gravity”, in Proceedings of 14th School of Cosmology and Gravitation, Erice (Italy) (1995). [12] Hehl, F. W., Mc Crea, J. D., Mielke, E. W., Neeman, Y., Phys. Rept., 258, 1 (1995). [13] Tresguerres, R., Mielke, E. W., Phys. Rev. D, 62, 04404 (2000). [14] Capovilla, R., Jacobson, T., Dell, J., Phys. Rev. Lett., 63, 2325 (1989). [15] Barbero, J. F., Class. Quant. Grav., 12, L5 (1995). [16] Capovilla, R., Jacobson, T., Dell, J., Clas. Quant. Grav., 8, 59 (1991). [17] Tiemblo, A., Tresguerres, R., Gen. Relativ. Gravit., 38, 1839 (2006). [18] York, James W., Phys Rev Lett , 26, 1656 (1971) and 28, 1082 (1972). [19] Romano, J., gr–qc/9303032. [20] Barbero, J. F., Phys. Rev D, 51, 5507 (1995). [21] Immirzi, G., Nucl. Phys. Proc. Suppl., 57, 65 (1997). [22] Samuel, J., Class. Quant. Grav., 17 L141 (2000). [23] Ortin. T., Gravity and strings, (Cambridge, 2004). [24] Blagojevic, M., Gravitation and gauge symmetries, (IOP Publishing Co., Bristol, 2002). [25] Hanson, A., Regge, T.,d Teitelboim C., “Constrained Hamiltonian Systems”, Accademia dei Lincei, Roma (1976).
dspace.entity.typePublication

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Rañada,AF04preprint.pdf
Size:
153.27 KB
Format:
Adobe Portable Document Format

Collections