Publication list (Updated 22-04-2023):
2023
1) Albujer, A.L., Alcázar, J., &; Caballero, M. (2023) On the symmetries
of a Kaehler manifold. Mediterranean Journal of Mathematics. To appear.
2) Albujer, A.L. & Caballero, M. (2023) Critical Points of the
Solutions to theHR=HLSurface Equation.Results in Mathematics,78, 75.
https://doi.org/10.1007/s00025-023-01847-0.
3) Albujer, A. L., da Silva, S. F., & dos Santos, F. R. Total mean
curvature surfaces in the product space $\mathbb{S}^n\times \mathbb{R}$
and applications. Proceedings of the Edinburgh Mathematical Society. To
appear.
4) Herrera, J., Rubio, R.M., Salamanca, J.J. (2023). Compact Minimal Submanifolds in a Large Class of Riemannian Manifolds. Mediterranean Journal of Mathematics 20, 74. https://doi.org/10.1007/s00009-023-02265-w.
2022
1) Albujer, A. L., & dos Santos F. R. (2022). Willmore surfaces and Hopf
tori in homogeneous 3-manifolds. Annals of Global Analysis and Geometry,
62 (2022). https://doi.org/10.1007/s10455-022-09844-2
2) Caballero, M., de la Fuente, D., Pelegrín, J. A. S., and Rubio, R. M. (2022) International Journal of Geometric Methods in Modern Physics, 19(13), 2250212. https://doi.org/10.1142/S0219887822502127
3) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2022). Omniscient foliations and the geometry of cosmological spacetimes. General Relativity and Gravitation, 54(11). http://dx.doi.org/10.1007/s10714-022-03033-z.
4) de la Fuente, D. Pelegrín, José A. S.; Rubio, R. M. (2022), Completeness
of uniformly accelerated observers in Galilean spacetimes. Lett. Math.
Phys. 112 no. 6.
5) García-Parrado A. (2022). pp-wave initial data. General Relativity and
Gravitation, 54(54).
https://dx.doi.org/10.1007/s10714-022-02938-z
6) García-Parrado A., Minguzzi E. (2022). An anisotropic gravity theory.
General Relativity and Gravitation. (54)150.
https://dx.doi.org/10.1007/s10714-022-03039-7
7) Herrera, J. de la Rosa, M. & Rubio, Rafael M. On the dynamics of
relativistic particles with torsion in warped product spacetimes. J.
Phys. A 55 (2022), no. 24.
8) Romero, A., Rubio, R. M., Salamanca, J. J., (2021) New examples of
Moser-Bernstein type problems for some nonlinear elliptic partial
differential equations arising in geometry. Ann. Fenn. Math. 46.
9) Salamanca, J. J., Herrera, J., & Rubio, R. M (2022), On the
connectedness of a random closed set of a Euclidean space. Fuzzy Sets
and Systems 443 (2022), part A, 127–136.
2021
1) Caballero, M., Pelegrín, J. A., & Rubio, R. M. (2021). Area
maximizing surfaces in lorentzian spaces. Mediterranean Journal of
Mathematics, (), .
2) Fuente, D. d. l., Pelegrín, J. A., & Rubio, R. M. (2021). On the
geometry of stationary galilean spacetimes. General Relativity and
Gravitation, (), .
3) García-Parrado, A. & Minguzzi, E. (2021). Projective and amplified
symmetries in metric-affine theories. Classical and Quantum Gravity,
(). http://dx.doi.org/10.1088/1361-6382/abed61
4) Herrera J., & Javaloyes,
M. A. (2021). Stationary\textendashcomplete spacetimes with
non-standard splittings and pre-randers metrics. Journal of Geometry
and Physics, 163(). http://dx.doi.org/10.1016/j.geomphys.2021.104120
5) Herrera, J., Rosa, M. d. l., & Rubio,
R. M. (2021). Relativistic particles with torsion in
three-dimensional non-vacuum spacetimes. Journal of Mathematical
Physics, (). http://dx.doi.org/10.1063/5.0041384
2020
1) Albujer, A., Herrera, J., & Rubio, R. (2020). A Moser-Bernstein
problem for riemannian warped products. Revista de la Real Academia
de Ciencias Exactas, Fisicas y Naturales – Serie A: Matematicas,
114(2), .
2) Albujer, A. L., Herrera, J., & Rubio, R. M. (2020). Complete
spacelike hypersurfaces on symmetric spacetimes. Classical and
Quantum Gravity, (), . http://dx.doi.org/10.1088/1361-6382/ab6f81
3) Herrera, J., Silva, I. P. C. e., Flores, J. L., & Herrera,
J. (2020). Addendum to ‘hausdorff closed limits and the c-boundary
i: a new topology for the c-completion of spacetimes’. Classical and
Quantum Gravity, (), . http://dx.doi.org/10.1088/1361-6382/ab57db
2019
1) Albujer, A. L., Jónatan Herrera, & Rubio, R. M. (2019). New
examples of static spacetimes admitting a unique standard
decomposition. General Relativity and Gravitation, 51(3). http://dx.doi.org/10.1007/s10714-019-2525-2
2) Aledo, J. A., Rubio, R. M., & Salamanca, J. J. (2019). Space-like
hypersurfaces with functionally bounded mean curvature in lorentzian
warped products and generalized calabi\textendashbernstein-type
problems. Proceedings of the Royal Society of Edinburgh: Section A
Mathematics, (), . http://dx.doi.org/10.1017/prm.2018.7
3) Caballero, M., Fuente, D. d., & Rubio, R. M. (2019). Infinitesimal
relative position vector fields for observers in a reference frame
and applications to conformally stationary spacetimes. Analysis and
Mathematical Physics, 9(4),
1977–1990. http://dx.doi.org/10.1007/s13324-019-00293-y
4) Alfonso García-Parrado Gómez-Lobo, Alfonso García-Parrado, &
Khavkine, I. (2019). Conformal killing initial data. Journal of
Mathematical Physics, (). http://dx.doi.org/10.1063/1.5126683
5) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2019). Hausdorff
closed limits and the c-boundary i: a new topology for the
c-completion of spacetimes. Classical and Quantum Gravity, 36(17),
1. http://dx.doi.org/10.1088/1361-6382/ab34a9
6) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2019). Hausdorff
closed limits and the c-boundary II: null infinity and black
holes. Classical and Quantum Gravity, 36(18). http://dx.doi.org/10.1088/1361-6382/ab34f2
7) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2019). Some
remarks on conformal symmetries and bartnik’s splitting
conjecture. Mediterranean Journal of Mathematics, 17(1). http://dx.doi.org/10.1007/s00009-019-1447-2
8) Pelegrin, J. A., Romero, A., & Rubio, R. M. (2019). An extension of
calabi’s correspondence between the solutions of two bernstein
problems to more general elliptic nonlinear equations. Mathematical
Notes, (), . http://dx.doi.org/10.1134/s0001434619010309
9) Pelegrín, J. A., Romero, A., & Rubio, R. M. (2019). Spacelike
hypersurfaces in spatially parabolic standard static spacetimes and
calabi\textendashbernstein-type problems. Mediterranean Journal of
Mathematics, (), . http://dx.doi.org/10.1007/s00009-019-1322-1
2018
1) Albujer, A., & Caballero, M. (2018). Corrigendum to ?geometric
properties of surfaces with the same mean curvature in r<sup>3</sup>
and l<sup>3</sup>? [j. math. anal. appl. 445 (2017) 1013?1024]
(s0022247x16303869) (10.1016/j.jmaa.2016.07.062)). Journal of
Mathematical Analysis and Applications, 459(2), 1303–1304.
2) Albujer, A., de Lima, H., Oliveira, A., & Velásquez,
M.A.L. (2018). Phi -parabolicity and the uniqueness of spacelike
hypersurfaces immersed in a spatially weighted grw
spacetime. Mediterranean Journal of Mathematics, 15(3).
3) Luis Alberto Aké, José Luis Flores, & Jónatan Herrera
(2018). Causality and c-completion of multiwarped
spacetimes. Classical and Quantum Gravity, 35(3). http://dx.doi.org/10.1088/1361-6382/aa9ad0
4) Aledo, J. A., Rubio, R. M., & Salamanca, J. J. (2018). Compact
maximal hypersurfaces in globally hyperbolic spacetimes. Classical
and Quantum Gravity, 36(1),
http://dx.doi.org/10.1088/1361-6382/aaf2aa
5) Caballero, M., & Rubio, R. (2018). A dual rigidity of the sphere and
the hyperbolic plane. Advances in Geometry, ().
6) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2018). A novel
notion of null infinity for c-boundaries and generalized black
holes. Journal of High Energy Physics, 2018(9). http://dx.doi.org/10.1007/jhep09(2018)123
7) Costa e Silva, I. P., Flores, J. L., & Herrera, J. (2018). A novel
notion of null infinity for c-boundaries and generalized black
holes. Journal of High Energy Physics, 2018(9). http://dx.doi.org/10.1007/jhep09(2018)123
8) Fuente, D. d. l., & Rubio, R. M. (2018). Galilean generalized
robertson-walker spacetimes: a new family of galilean geometrical
models. Journal of Mathematical Physics, (). http://dx.doi.org/10.1063/1.4997115
9) A Garc\’\ia-Parrado Gómez-Lobo, E Gasper\’\in, & Kroon,
J. A. V. (2018). Conformal geodesics in spherically symmetric vacuum
spacetimes with cosmological constant. Classical and Quantum
Gravity, 35(4), 045002. http://dx.doi.org/10.1088/1361-6382/aa9f59
10) Alfonso Garc\’\ia-Parrado Gómez-Lobo (2018). Corrigendum: vacuum
type d initial data (2016 class. quantum grav. 33 175005). Classical
and Quantum Gravity, 35(7). http://dx.doi.org/10.1088/1361-6382/aaab75
11) Rubio, R. M., & Salamanca, J. J. (2018). An analytical approach to
the external force-free motion of pendulums on surfaces of constant
curvature. Journal of Geometry and Physics, 129(),
200–207. http://dx.doi.org/10.1016/j.geomphys.2018.03.010
2017
1) Alarcón, E.M., Albujer, A., & Caballero, M. (2017). Spacelike
hypersurfaces in the lorentz-minkowski space with the same
riemannian and lorentzian mean curvature. Springer Proceedings in
Mathematics and Statistics, 211(), 1–12.
2) Albujer, A., & Caballero, M. (2017). Geometric properties of
surfaces with the same mean curvature in r<sup>3</sup> and
l<sup>3</sup>. Journal of Mathematical Analysis and Applications,
445(1), 1013–1024.
3) Albujer, A. L., Lima, H. F. d., Oliveira, A. M., & Marco Antonio
L. Velásquez (2017). Rigidity of complete spacelike hypersurfaces
in spatially weighted generalized robertson\textendashwalker
spacetimes. Differential Geometry and its Applications, 50(),
140–154. http://dx.doi.org/10.1016/j.difgeo.2016.11.006
4) Aledo, J., & Rubio, R. (2017). Stable minimal surfaces in riemannian
warped products. Journal of Geometric Analysis, 27(1), 65–78.
5) Aledo, J., Rubio, R., & Salamanca, J. (2017). Complete spacelike
hypersurfaces in generalized robertson?walker and the null
convergence condition: calabi-bernstein problems. Revista de la Real
Academia de Ciencias Exactas, Fisicas y Naturales – Serie A:
Matematicas, 111(1), 115–128.
6) Aké, L.A., & Herrera, J. (2017). Spacetime coverings and the
casual boundary. Journal of High Energy Physics, 2017(4).
7) Fuente, D. d. l., Rubio, R. M., & Salamanca, J. J. (2017). Stability
of maximal hypersurfaces in spacetimes: new general conditions and
application to relevant spacetimes. General Relativity and
Gravitation, 49(10), . http://dx.doi.org/10.1007/s10714-017-2295-7
8) Herrera, J., Javaloyes, M., & Piccione, P. (2017). On a monodromy
theorem for sheaves of local fields and applications. Revista de la
Real Academia de Ciencias Exactas, Fisicas y Naturales – Serie A:
Matematicas, 111(4), 999–1029.
9) Pelegrín, J.A.S., Romero, A., & Rubio, R. (2017). On uniqueness of
the foliation by comoving observers restspaces of a generalized
robertson?walker spacetime. General Relativity and Gravitation,
49(2), .
10) Rubio, R. (2017). Calabi-bernstein-type problems in lorentzian
geometry. Springer Proceedings in Mathematics and Statistics, 211(),
213–236.
2016
1) Aledo, J., & Rubio, R. (2016). Scalar curvature of spacelike
hypersurfaces and certain class of cosmological models for
accelerated expanding universes. Journal of Geometry and Physics,
104(), 128–136.
2) Aledo, J., & Rubio, R. (2016). Parabolicity of minimal graphs in
riemannian warped products and rigidity theorems. Nonlinear
Analysis, Theory, Methods and Applications, 141(), 130–138.
3) Aledo, J. \., & Rubio, R. M. (2016). A bernstein problem in warped
products. Annales Academiae Scientiarum Fennicae Mathematica, (),
. http://dx.doi.org/10.5186/aasfm.2016.4139
4) Aledo, J. A., & Rubio, R. M. (2016). On the scalar curvature of
spacelike hypersurfaces in generalized robertson walker
spacetimes. Differential Geometry and its Applications, 44(),
17–29. http://dx.doi.org/10.1016/j.difgeo.2015.10.004
5) Alfonso Garc\’\ia-Parrado Gómez-Lobo (2016). Vacuum type d initial
data. Classical and Quantum Gravity, 33(17). http://dx.doi.org/10.1088/0264-9381/33/17/175005
6) Caballero, M., & Rubio, R. (2016). Characterizations of umbilic
points of isometric immersions in riemannian and lorentzian
manifolds. Taiwanese Journal of Mathematics, 20(5), 1041–1052.
7) García-Martínez, S.C., & Herrera, J. (2016). Rigidity and
bifurcation results for cmc hypersurfaces in warped product
spaces. Journal of Geometric Analysis, 26(2), 1186–1201.
8) Flores, J., Herrera, J., & Sánchez, M. (2016). Hausdorff
separability of the boundaries for spacetimes and sequential
spaces. Journal of Mathematical Physics, 57(2).
9) Peleg?n, J., Romero, A., & Rubio, R. (2016). On maximal
hypersurfaces in lorentz manifolds admitting a parallel lightlike
vector field. Classical and Quantum Gravity, 33(5), .
10) Pelegrín, J.A.S., Romero, A., & Rubio, R. (2016). Uniqueness of
complete maximal hypersurfaces in spatially open (n+ 1) -dimensional
robertson?walker spacetimes with flat fiber. General Relativity and
Gravitation, 48(6), .
11) Romero, A., & Rubio, R. (2016). Bernstein-type theorems in a
riemannian manifold with an irrotational killing vector
field. Mediterranean Journal of Mathematics, 13(3), 1285–1290.
2015
1) Albujer, A., Caballero, M., & López, R. (2015). Convexity of the
solutions to the constant mean curvature spacelike surface equation
in the lorentz-minkowski space. Journal of Differential Equations,
258(7), 2364–2374.
2) Aledo, J., Romero, A., & Rubio, R. (2015). The existence and
uniqueness of standard static splitting. Classical and Quantum
Gravity, 32(10), .
3) Aledo, J., & Rubio, R. (2015). Constant mean curvature spacelike
surfaces in lorentzian warped products. Advances in Mathematical
Physics, 2015(), .
4) Aledo, J. A., Romero, A., & Rubio, R. M. (2015). The classical
calabi\textendashbernstein theorem revisited. Journal of
Mathematical Analysis and Applications, 431(2),
1172–1177. http://dx.doi.org/10.1016/j.jmaa.2015.06.030
5) Caballero, M., & Rubio, R. (2015). Dual characterizations of the
sphere and the hyperbolic space in arbitrary
dimension. International Journal of Geometric Methods in Modern
Physics, 12(8), .
6) Caballero, M., Romero, A., & Rubio, R. (2015). Calabi-bernstein-type
problems for some nonlinear equations arising in lorentzian
geometry. Journal of Mathematical Sciences (United States), 207(4),
544–550.
7) García-Parrado Gómez-Lobo}, A. (2015). Local non-negative initial
data scalar characterization of the kerr solution. Phys. Rev. D,
92(), 124053.
8) Romero, A., Rubio, R., & Salamanca, J. (2015). Complete maximal
hypersurfaces in certain spatially open generalized robertson?walker
spacetimes. Revista de la Real Academia de Ciencias Exactas, Fisicas
y Naturales – Serie A: Matematicas, 109(2), 451–460.
9) Rubio, R., & Salamanca, J. (2015). Maximal surface equation on a
riemannian 2-manifold with finite total curvature. Journal of
Geometry and Physics, 92(), 140–146.