Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

It has recently been shown that f(T) gravity has n(n-3)2+1 physical degrees of freedom (d.o.f.) in n dimensions, contrary to previous claims. The simplest physical interpretation of this fact is that the theory possesses a scalar d.o.f. This is the case of f(R) gravity, a theory that can be understood in the Einstein frame as general relativity plus a scalaron. The scalar field that represents the extra d.o.f. in f(T) gravity encodes information about the parallelization of the spacetime, which is detected through a reinterpretation of the equations of motion in both the teleparallel Jordan and Einstein frames. The trace of the equations of motion in f(T) gravity shows the propagation of the scalar d.o.f., giving an accurate proof of its existence. We also provide a simple toy model of a physical system with rotational pseudoinvariance, like f(T) gravity, which gives insights into the physical interpretation of the extra d.o.f. We discuss some implications and unusual features of the previously worked out Hamiltonian formalism for f(T) gravity. Finally we show some mathematical tools to implement the Hamiltonian formulation in the Einstein frame of f(T) gravity, which exhibits some problems that should be addressed in future works. © 2018 American Physical Society.

Registro:

Documento: Artículo
Título:Quest for the extra degree of freedom in f (T) gravity
Autor:Ferraro, R.; Guzmán, M.J.
Filiación:Instituto de Astronomía y Física Del Espacio (IAFE CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Instituto de Física de la Plata (IFLP CONICET-UNLP), C. C. 67, La Plata, 1900, Argentina
Año:2018
Volumen:98
Número:12
DOI: http://dx.doi.org/10.1103/PhysRevD.98.124037
Título revista:Physical Review D
Título revista abreviado:Phy. Rev. D
ISSN:24700010
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v98_n12_p_Ferraro

Referencias:

  • Ferraro, R., Fiorini, F., Modified teleparallel gravity: Inflation without inflaton (2007) Phys. Rev. D, 75, p. 084031
  • Ferraro, R., Fiorini, F., On Born-Infeld gravity in Weitzenbock spacetime (2008) Phys. Rev. D, 78, p. 124019
  • Fiorini, F., Ferraro, R., A type of Born-Infeld regular gravity and its cosmological consequences (2009) Int. J. Mod. Phys. A, 24, p. 1686
  • Ferraro, R., Fiorini, F., Born-Infeld determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime (2010) Phys. Lett. B, 692, p. 206
  • Ferraro, R., Fiorini, F., The regular cosmic string in Born-Infeld gravity (2011) J. Phys. Conf. Ser., 314, p. 012114
  • Fiorini, F., Nonsingular Promises from Born-Infeld Gravity (2013) Phys. Rev. Lett., 111, p. 041104
  • Fiorini, F., Vattuone, N., An analysis of Born-Infeld determinantal gravity in Weitzenböck spacetime (2016) Phys. Lett. B, 763, p. 45
  • Fiorini, F., Primordial brusque bounce in Born-Infeld determinantal gravity (2016) Phys. Rev. D, 94, p. 024030
  • Bengochea, G.R., Ferraro, R., Dark torsion as the cosmic speed-up (2009) Phys. Rev. D, 79, p. 124019
  • Wu, P., Yu, H.W., Observational constraints on (Equation presented) theory (2010) Phys. Lett. B, 693, p. 415
  • Myrzakulov, R., Accelerating Universe from (Equation presented) gravity (2011) Eur. Phys. J. C, 71, p. 1752
  • Wu, P., Yu, H.W., The dynamical behavior of (Equation presented) theory (2010) Phys. Lett. B, 692, p. 176
  • Yang, R.J., New types of (Equation presented) gravity (2011) Eur. Phys. J. C, 71, p. 1797
  • Bamba, K., Geng, C.-Q., Lee, C.-C., Comment on "einstein's Other Gravity and the Acceleration of the Universe", , 1008.4036
  • Yang, R.-J., Conformal transformation in (Equation presented) theories (2011) Europhys. Lett., 93, p. 60001
  • Chen, S.-H., Dent, J.B., Dutta, S., Saridakis, E.N., Cosmological perturbations in (Equation presented) gravity (2011) Phys. Rev. D, 83, p. 023508
  • Bengochea, G.R., Observational information for (Equation presented) theories and dark torsion (2011) Phys. Lett. B, 695, p. 405
  • Bamba, K., Geng, C.-Q., Lee, C.-C., Luo, L.-W., Equation of state for dark energy in (Equation presented) gravity J. Cosmol. Astropart. Phys., 2011 (1), p. 021
  • Li, B., Sotiriou, T.P., Barrow, J.D., (Equation presented) gravity and local Lorentz invariance (2011) Phys. Rev. D, 83, p. 064035
  • Ferraro, R., Fiorini, F., Non trivial frames for (Equation presented) theories of gravity and beyond (2011) Phys. Lett. B, 702, p. 75
  • Sotiriou, T.P., Li, B., Barrow, J.D., Generalizations of teleparallel gravity and local Lorentz symmetry (2011) Phys. Rev. D, 83, p. 104030
  • Li, B., Sotiriou, T.P., Barrow, J.D., Large-scale structure in (Equation presented) gravity (2011) Phys. Rev. D, 83, p. 104017
  • Li, M., Miao, R.-X., Miao, Y.-G., Degrees of freedom of (Equation presented) gravity J. High Energy Phys., 2011 (7), p. 108
  • Ferraro, R., Fiorini, F., Spherically symmetric static spacetimes in vacuum (Equation presented) gravity (2011) Phys. Rev. D, 84, p. 083518
  • Ferraro, R., Fiorini, F., Cosmological frames for theories with absolute parallelism (2011) Int. J. Mod. Phys. Conf. Ser., 3, p. 227
  • Ferraro, R., (Equation presented) and (Equation presented) theories of modified gravity (2012) AIP Conf. Proc., 471, p. 103
  • Bamba, K., Myrzakulov, R., Nojiri, S., Odintsov, S.D., Reconstruction of (Equation presented) gravity: Rip cosmology, finite-time future singularities and thermodynamics (2012) Phys. Rev. D, 85, p. 104036
  • Izumi, K., Ong, Y.C., Cosmological perturbation in (Equation presented) gravity revisited J. Cosmol. Astropart. Phys., 2013 (6), p. 029
  • Fiorini, F., González, P.A., Vásquez, Y., Compact extra dimensions in cosmologies with (Equation presented) structure (2014) Phys. Rev. D, 89, p. 024028
  • Bamba, K., Odintsov, S.D., Sáez-Gómez, D., Conformal symmetry and accelerating cosmology in teleparallel gravity (2013) Phys. Rev. D, 88, p. 084042
  • Nashed, G.G.L., Local Lorentz transformation and exact solution in (Equation presented) gravity theories (2013) Astrophys. Space Sci., 348, p. 591
  • Chen, P., Izumi, K., Nester, J.M., Ong, Y.C., Remnant symmetry, propagation and evolution in (Equation presented) gravity (2015) Phys. Rev. D, 91, p. 064003
  • Bejarano, C., Ferraro, R., Guzmán, M.J., Kerr geometry in (Equation presented) gravity (2015) Eur. Phys. J. C, 75, p. 77
  • Ferraro, R., Fiorini, F., Remnant group of local Lorentz transformations in (Equation presented) theories (2015) Phys. Rev. D, 91, p. 064019
  • Wright, M., Conformal transformations in modified teleparallel theories of gravity revisited (2016) Phys. Rev. D, 93, p. 103002
  • Farrugia, G., Said, J.L., Ruggiero, M.L., Solar system tests in (Equation presented) gravity (2016) Phys. Rev. D, 93, p. 104034
  • Nunes, R.C., Pan, S., Saridakis, E.N., New observational constraints on (Equation presented) gravity from cosmic chronometers J. Cosmol. Astropart. Phys., 2016 (8), p. 011
  • Bejarano, C., Ferraro, R., Guzmán, M.J., McVittie solution in (Equation presented) gravity (2017) Eur. Phys. J. C, 77, p. 825
  • Golovnev, A., Introduction to Teleparallel Gravities, , 1801.06929
  • Skugoreva, M.A., Toporensky, A.V., On Kasner solution in Bianchi i (Equation presented) cosmology (2018) Eur. Phys. J. C, 78, p. 377
  • Hohmann, M., Jarv, L., Ualikhanova, U., Dynamical systems approach and generic properties of (Equation presented) cosmology (2017) Phys. Rev. D, 96, p. 043508
  • Ferraro, R., Guzmán, M.J., Hamiltonian formalism for (Equation presented) gravity (2018) Phys. Rev. D, 97, p. 104028
  • Ong, Y.C., Degrees of freedom and problems in (Equation presented) gravity (2018) Int. J. Geom. Methods Mod. Phys., 15, p. 1850139
  • Golovnev, A., Koivisto, T., Cosmological perturbations in modified teleparallel gravity models J. Cosmol. Astropart. Phys., 2018 (11), p. 012
  • González, P.A., Vásquez, Y., Teleparallel equivalent of Lovelock gravity (2015) Phys. Rev. D, 92, p. 124023
  • Bahamonde, S., Böhmer, C.G., Modified teleparallel theories of gravity: Gauss-Bonnet and trace extensions (2016) Eur. Phys. J. C, 76, p. 578
  • Bahamonde, S., Capozziello, S., Noether symmetry approach in (Equation presented) teleparallel cosmology (2017) Eur. Phys. J. C, 77, p. 107
  • Bahamonde, S., Böhmer, C.G., Krššák, M., New classes of modified teleparallel gravity models (2017) Phys. Lett. B, 775, p. 37
  • Hohmann, M., Järv, L., Krššák, M., Pfeifer, C., Teleparallel theories of gravity as analogue of nonlinear electrodynamics (2018) Phys. Rev. D, 97, p. 104042
  • Ong, Y.C., Nester, J.M., Counting components in the Lagrange multiplier formulation of teleparallel theories (2018) Eur. Phys. J. C, 78, p. 568
  • Krššák, M., Saridakis, E.N., The covariant formulation of (Equation presented) gravity (2016) Classical Quantum Gravity, 33, p. 115009
  • Golovnev, A., Koivisto, T., Sandstad, M., On the covariance of teleparallel gravity theories (2017) Classical Quantum Gravity, 34, p. 145013
  • Hohmann, M., Järv, L., Ualikhanova, U., Covariant formulation of scalar-torsion gravity (2018) Phys. Rev. D, 97, p. 104011
  • Dolgov, A.D., Kawasaki, M., Can modified gravity explain accelerated cosmic expansion (2003) Phys. Lett. B, 573, p. 1
  • Nojiri, S., Odintsov, S.D., Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration (2003) Phys. Rev. D, 68, p. 123512
  • Faraoni, V., Matter instability in modified gravity (2006) Phys. Rev. D, 74, p. 104017
  • Olmo, G.J., Limit to general relativity in (Equation presented) theories of gravity (2007) Phys. Rev. D, 75, p. 023511
  • Sotiriou, T.P., Faraoni, V., (Equation presented) theories of gravity (2010) Rev. Mod. Phys., 82, p. 451
  • Barrow, J.D., Cotsakis, S., Inflation and the conformal structure of higher order gravity theories (1988) Phys. Lett. B, 214, p. 515
  • Maeda, K.I., Towards the Einstein-Hilbert action via conformal transformation (1989) Phys. Rev. D, 39, p. 3159
  • Chiba, T., (Equation presented) gravity and scalar-tensor gravity (2003) Phys. Lett. B, 575, p. 1
  • Faraoni, V., Gunzig, E., Einstein frame or Jordan frame (1999) Int. J. Theor. Phys., 38, p. 217
  • Bhadra, A., Sarkar, K., Datta, D.P., Nandi, K.K., Brans-Dicke theory: Jordan versus Einstein frame (2007) Mod. Phys. Lett. A, 22, p. 367
  • Capozziello, S., Martin-Moruno, P., Rubano, C., Physical non-equivalence of the Jordan and Einstein frames (2010) Phys. Lett. B, 689, p. 117
  • Sk, N., Sanyal, A.K., Why scalar-tensor equivalent theories are not physically equivalent (2017) Int. J. Mod. Phys. D, 26, p. 1750162
  • Ferraro, R., Guzmán, M.J., Hamiltonian formulation of teleparallel gravity (2016) Phys. Rev. D, 94, p. 104045
  • Itin, Y., Hehl, F.W., Obukhov, Y.N., Premetric equivalent of general relativity: Teleparallelism (2017) Phys. Rev. D, 95, p. 084020
  • Itin, Y., Obukhov, Y.N., Boos, J., Hehl, F.W., Premetric teleparallel theory of gravity and its local and linear constitutive law (2018) Eur. Phys. J. C, 78, p. 907
  • Maluf, J.W., Da Rocha-Neto, J.F., Hamiltonian formulation of general relativity in the teleparallel geometry (2001) Phys. Rev. D, 64, p. 084014
  • Sundermeyer, K., (2014) Symmetries in Fundamental Physics, , (Springer, Cham, Switzerland)
  • Ostrogradsky, M., (1850) Mem. Ac. St. Petersbourg VI, 4, p. 385
  • Woodard, R.P., Ostrogradsky's theorem on Hamiltonian instability (2015) Scholarpedia, 10, p. 32243
  • Bejarano, C., Ferraro, R., Guzmán, M.J., (to be published)

Citas:

---------- APA ----------
Ferraro, R. & Guzmán, M.J. (2018) . Quest for the extra degree of freedom in f (T) gravity. Physical Review D, 98(12).
http://dx.doi.org/10.1103/PhysRevD.98.124037
---------- CHICAGO ----------
Ferraro, R., Guzmán, M.J. "Quest for the extra degree of freedom in f (T) gravity" . Physical Review D 98, no. 12 (2018).
http://dx.doi.org/10.1103/PhysRevD.98.124037
---------- MLA ----------
Ferraro, R., Guzmán, M.J. "Quest for the extra degree of freedom in f (T) gravity" . Physical Review D, vol. 98, no. 12, 2018.
http://dx.doi.org/10.1103/PhysRevD.98.124037
---------- VANCOUVER ----------
Ferraro, R., Guzmán, M.J. Quest for the extra degree of freedom in f (T) gravity. Phy. Rev. D. 2018;98(12).
http://dx.doi.org/10.1103/PhysRevD.98.124037