caa a22 4500 469065230 CHVBK 20180323132906.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF02723170 doi (NATIONALLICENCE)springer-10.1007/BF02723170 The ADM Lagrangian in extrinsic gravity [Elektronische Daten] [V. Franke, V. Tapia] Summary: We consider the properties of the ADAM Lagrangian in the model for gravity based on extrinsic geometry recently developed. In this model the space-time is embedded into a space of more dimensions and the embedding functions are considered as dynamical variables. In spite of the naïve expectatives this Lagrangian depends only on first-order time derivatives of the fields, the embedding functions. This is a nice property since in this case on would expect an easy canonical formulation. Another nice property is the fact that the energy-momentum tensor is identically zero. The shift constraints are easily calculated; however, the lapse constraint has not been calculated since it relies on an involved matrix calculation. After fixing the gauge, this reflects in the impossibility of solving, even when the Legendre transformation is invertible, for the velocities. Furthermore, the gauged energy-momentum tensor is not a tensor density. Società Italiana di Fisica, 1992 04.50 nationallicence Unified field theories and other theories of gravitation nationallicence Franke V. Department of Theoretical Physics, Leningrad State University, 1 Ulianovskaya Street, Petrodvorec 198904, St. Petersburg, Russia aut Tapia V. Centro de Investigación en Física, Universidad de Sonora, Apartado Postal 5-088, 83190, Hermosillo, Sonora, Mexico aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/6(1992-06-01), 611-630 107:6<611 1992 107 40764 https://doi.org/10.1007/BF02723170 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02723170 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Franke V. Department of Theoretical Physics, Leningrad State University, 1 Ulianovskaya Street, Petrodvorec 198904, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Tapia V. Centro de Investigación en Física, Universidad de Sonora, Apartado Postal 5-088, 83190, Hermosillo, Sonora, Mexico aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/6(1992-06-01), 611-630 107:6<611 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer