Merced Montesinos
Professor of Physics

National Researcher of the National Research Council of Mexico. Membership: Level 3 (highest possible level)

Ph.D., Cinvestav, 1997
Research Specialty: BF gravity, tetrad gravity, quantum gravity, gauge systems, mathematical physics.


I am primarily interested in the Lagrangian and Hamiltonian foundations of general relativity. The research topics involve-but are not limited to-the study of reformulations of general relativity as a constrained BF theory (Plebanski action), first-order general relativity (tetrad gravity), the problem of time in general relativity, loop quantum gravity, etc.

Recent Publications:

  1. M. Montesinos, J. Romero, R. Escobedo, and M. Celada, SU(1,1) Barbero-like variables derived from Holst action, Phys. Rev. D 98, 124002 (2018)
    DOI: 10.1103/PhysRevD.98.124002
  2. M. Montesinos, R. Romero, and B. Díaz, Symmetries of first-order Lovelock gravity, Class. Quantum Grav. 35, 235015 (2018)
    DOI: 10.1088/1361-6382/aaea21
  3. M. Montesinos, D. Gonzalez, and M. Celada, The gauge symmetries of first-order general relativity with matter fields, Class. Quantum Grav. 35, 205005 (2018)
    DOI: 10.1088/1361-6382/aae10d
    See also the Insight Paper on CQG+ !!!
  4. D. Gonzalez, M. Celada, and M. Montesinos, Polynomial BF-type action for general relativity and anti-self-dual gravity, Phys. Rev. D 97, 124055 (2018)
    DOI: 10.1103/PhysRevD.97.124055
  5. B. Díaz and M. Montesinos, Geometric Lagrangian approach to the physical degree of freedom count in field theory, J. Math. Phys. 59, 052901 (2018)
    DOI: 10.1063/1.5008740
  6. M. Montesinos, J. Romero, and M. Celada, Manifestly Lorentz-covariant variables for the phase space of general relativity, Phys. Rev. D 97, 024014 (2018)
    DOI: 10.1103/PhysRevD.97.024014
  7. M. Montesinos, D. González, M. Celada, and B. Díaz, Reformulation of the symmetries of first-order general relativity, Class. Quantum Grav. 34, 205002 (2017)
    DOI: 10.1088/1361-6382/aa89f3
  8. (Topical Review) M. Celada, D. González, and M. Montesinos, BF gravity, Class. Quantum Grav. 33, 213001 (2016)
    DOI: 10.1088/0264-9381/33/21/213001
  9. M. Celada, D. González, and M. Montesinos, Plebanski-like action for general relativity and anti-self-dual gravity, Phys. Rev. D 93, 104058 (2016)
    DOI: 10.1103/PhysRevD.93.104058
  10. M. Celada, M. Montesinos, and J. Romero, Barbero's formulation from a BF-type action with the Immirzi parameter, Class. Quantum Grav. 33, 115014 (2016)
    DOI: 10.1088/0264-9381/33/11/115014
  11. M. Celada, D. González, and M. Montesinos, Alternative derivation of Krasnov's action for general relativity, Phys. Rev. D 92, 044059 (2015)
    DOI: 10.1103/PhysRevD.92.044059
  12. D. González and M. Montesinos, Gauge connection formulations for general relativity, Phys. Rev. D 91, 024021 (2015)
    DOI: 10.1103/PhysRevD.91.024021
  13. M. Á. García-Ariza, M. Montesinos, and G.F. Torres del Castillo, Geometric thermodynamics: black holes and the meaning of the scalar curvature, Entropy 16, 6515 (2014)
    DOI: 10.3390/e16126515
  14. B. Díaz, D. Higuita, and M. Montesinos, Lagrangian approach to the physical degree of freedom count, J. Math. Phys. 55, 122901 (2014)
    DOI: 10.1063/1.4903183
  15. M. Celada and M. Montesinos, Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter, Class. Quantum Grav. 29, 205010 (2012)
    DOI: 10.1088/0264-9381/29/20/205010
  16. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and matter fields, Phys. Rev. D 85, 064011 (2012)
    DOI: 10.1103/PhysRevD.85.064011
  17. M. Montesinos and M. Velázquez, Equivalent and alternative forms for BF gravity with Immirzi parameter, Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) 7, 103 (2011)
    download PDF
  18. A. Gallardo and M. Montesinos, The boundary field theory induced by the Chern-Simons theory, J. Phys. A: Math. Theor. 44, 135402 (2011)
    download PDF
  19. R. Capovilla, M. Montesinos, and M. Velázquez, Minimally modified self-dual 2-forms gravity, Class. Quantum Grav. 27, 145011 (2010)
    download PDF
  20. L. Liu, M. Montesinos, and A. Perez, Topological limit of gravity admitting an SU(2) connection formulation, Phys. Rev. D 81, 064033 (2010)
    download PDF
  21. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and cosmological constant, Phys. Rev. D 81, 044033 (2010)
    download PDF
  22. V. Cuesta, M. Montesinos, M. Velázquez, and J.D. Vergara, Topological field theories in n-dimensional spacetimes and Cartan's equations, Phys. Rev. D 78, 064046 (2008)
    download PDF
  23. M. Montesinos and A. Perez, Two-dimensional topological field theories coupled to four-dimensional BF theory, Phys. Rev. D 77, 104020 (2008)
    download PDF
  24. A. Pérez-Lorenzana, M. Montesinos, and T. Matos, Unification of cosmological scalar fields, Phys. Rev. D 77, 063507 (2008)
    download PDF
  25. V. Cuesta and M. Montesinos, Cartan's equations define a topological field theory of the BF type, Phys. Rev. D 76, 104004 (2007)
    download PDF
  26. V. Cuesta, M. Montesinos, and J.D. Vergara, Gauge invariance of the action principle for gauge systems with noncanonical symplectic structures, Phys. Rev. D 76, 025025 (2007)
    download PDF
  27. M. Montesinos and G.F. Torres del Castillo, Reply to Comment on Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty, Phys. Rev. A 75, 066102 (2007)
    download PDF
  28. M. Montesinos, Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories, Class. Quantum Grav. 23, 2267 (2006)
    download PDF
  29. M. Mondragón and M. Montesinos, Covariant canonical formalism for four-dimensional BF theory, J. Math. Phys. 47, 022301 (2006)
    download PDF

Supervised Ph.D. Theses:

  1. Ricardo Escobedo Alcaraz, Ph.D., Cinvestav, in progress
  2. Rodrigo Humberto Romero Aguilar, Ph.D., Cinvestav, in progress
  3. Jorge Luis Romero Guerra, Ph.D., Cinvestav, in progress
  4. Miguel Ángel García Ariza, Estructura geométrica de la termodinámica en equilibrio, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), 2018
  5. Bogar Díaz Jiménez, Geometric approach to Lagrangian systems, Ph.D., Benemérita Universidad Autónoma de Puebla (BUAP), 2017
  6. Mariano Alexander Celada Martínez, Hamiltonian BF gravity, Ph.D., Cinvestav, 2016
    2017 Arturo Rosenblueth Award for the best Ph.D. Thesis in Exact and Natural Sciences
  7. Diego Giovanni González Vallejo, Geometrical aspects of 2-forms gravity, Ph.D., Cinvestav, 2015
  8. Mercedes Paulina Velázquez Quesada, BF gravity, matter couplings, and related theories, Ph.D., Cinvestav, 2011
    2012 Weizmann Award for the best Ph.D. Thesis in Exact Sciences
  9. Arturo Alejandro Gallardo Lozada, Dinámicas de bulto y de frontera, Ph.D., Cinvestav, 2011
  10. Vladimir Cuesta Sánchez, Algunas aplicaciones de la geometría simpléctica en la física matemática, Ph.D., Cinvestav, 2007

Supervised M.Sc. Theses:

  1. Ricardo Escobedo Alcaraz, Fusión de las constricciones hamiltoniana y de difeomorfismos de la acción de Palatini, M.Sc., Cinvestav, 2018
  2. Vicente Vargas García, Gravedad tipo BF en dos dimensiones, M.Sc., Cinvestav, 2014
  3. Jorge Humberto Felipe Matías, Gravedad en tres dimensiones en términos de conexiones, M.Sc., Cinvestav, 2014
  4. Alberto Efraín Morales Avelino, Gravedad degenerada en tres dimensiones, M.Sc., Cinvestav, 2014
  5. Jorge Luis Romero Guerra, Gravedad tipo BF canónica, M.Sc., Cinvestav, 2014
  6. Daniel Fernando Higuita Borja, Lagrangian approach to the physical degree of freedom count, M.Sc., Cinvestav, 2012
  7. Diego Giovanni González Vallejo, Gravedad de 2-formas, M.Sc., Cinvestav, 2011
  8. Mariano Alexander Celada Martínez, Análisis hamiltoniano de gravedad a la BF, M.Sc., Cinvestav, 2011
  9. Ricardo Magaña Villalba, Análisis hamiltoniano del término agregado por Holst a la lagrangiana de Palatini, M.Sc., Cinvestav, 2007
  10. Arturo Alejandro Gallardo Lozada, Condiciones de frontera en el formalismo hamiltoniano à la Dirac, M.Sc., Cinvestav, 2006
  11. Aldo Aparicio Martínez Merino, Teoría de Hamilton-Jacobi para sistemas hamiltonianos genuinamente covariantes, M.Sc., Cinvestav, 2005
  12. Vladimir Cuesta Sánchez, Conexiones planas en relatividad general, M.Sc., Cinvestav, 2004
  13. Mauricio Javier Mondragón López, Formalismo canónico covariante de teorías BF en cuatro dimensiones y sistemas parametrizados con un número finito de grados de libertad, M.Sc., Cinvestav, 2003

Supervised B.Sc. Theses:

  1. Alberto Efraín Morales Avelino, Dinámica de la partícula libre relativista, B.Sc., Universidad Autónoma Benito Juárez de Oaxaca (UABJO), 2014
  2. Benito Alberto Juárez Aubry, Scalar field coupling to BF gravity, B.Sc., Universidad de las Américas Puebla (UDLAP), 2011
  3. Ernesto Flores González, Tensor de energía-momentum simétrico sin usar el método de simetrización de Belinfante, B.Sc., Universidad Veracruzana, 2006
Go to the Physics Department of Cinvestav