Books:
(with Sabrina Rossi) Principi
di conservazione
140 p. Alpha
Test Editions (physics exercises for the University, in
Italian).
ISBN: 88-483-0309-9
Meccanica
Razionale
Amazon
ISBN: 979-8783149405
Articles
by subject (titles
of contributions to proceedings in italics)
The list might need to be updated. You can also search some publications at arXiv, inSpire, MathSciNet (subscribers only)
Causality theory and other aspects of Lorentz(-Finsler) geometry:
Causality
theory for closed cone structures with applications
Rev. Mat. Phys. (2018)
eprint Archive: 1709.06494
(with A.
Garcia-Parrado Gomez-Lobo) Pseudo-Finsler
spaces modeled on a pseudo-Minkowski space
Rep. Mat. Phys. 82 29-42
(2018)
eprint Archive: 1612.00829
Indicatrix geometry clarifies that Finsler
length can be larger than relative length
Rep. Mat. Phys. 82 27-28
(2018)
eprint Archive: 1807.01917
Affine sphere spacetimes which satisfy the
relativity principle
Phys. Rev. D. 95 024019 (2017)
eprint Archive: 1702.06745
Affine sphere relativity
Commun. Math. Phys.
350 749-801
(2017)
eprint Archive: 1702.06739
The conformal transformation of the night sky
Class. Quantum Grav.
33 235009 (2016)
e-print Archive: 1606.07665
The boundary of the chronology violating set
Class. Quantum Grav. 33, 225004
(2016)
e-print Archive: 1603.08190
Special coordinate systems in pseudo-Finsler
geometry and the equivalence principle
J. Geom. Phys. 114 336-347 (2017)
e-print Archive:
1601.07952
On the existence of smooth Cauchy steep time
functions
Class. Quantum Grav. 33, 115001 (2016)
e-print
Archive: 1601.05932
A divergence theorem for pseudo-Finsler spaces
Rep. Math. Phys. 80 307-315 (2017)
e-print Archive:
1508.06053
How
many futures on Finsler spacetimes
Journal
of Physics: Conference Series, 626
(2015) 012029
7th international Workshop DICE 2014 Castello Pasquini, Castiglioncello (
Raychaudhuri equation and singularity theorems
in Finsler spacetimes
Class. Quantum Grav. 32, 185008 (2015)
e-print Archive:
1502.02313
An equivalence of Finslerian relativistic
theories
The previous title was: The definition of
Finsler spacetime.
Rep. Math. Phys. 77 45-55 (2016)
e-print Archive: 1412.4228
Area theorem and smoothness of compact Cauchy
horizons
Commun. Math. Phys. 339,
57-98 (2015)
e-print Archive: 1406.5919
The vacuum conservation theorem
Gen. Relat. Gravit. 47, 32 (2015)
e-print Archive: 1406.5915
Completeness
of Cauchy horizon generators
J. Math. Phys. 55, 082503 (2014)
e-print Archive: 1406.5909
The connections of pseudo-Finsler spaces
Int. J. Geom. Meth. Mod. Phys.
11,
1460025 (2014) dedicated to Marco Modugno
e-print Archive:
1405.0645
Light cones in Finsler spacetime
Commun. Math. Phys. 334,
1529-1551 (2015)
e-print Archive: 1403.7060
Convex neighborhood of Lipschitz connections
and sprays
Monatsh. Math. 177, 569-625 (2015)
e-Print
Archive: 1308.6675
(with
Piotr T. Chruściel and James D.E. Grant) On
differentiability of volume time functions
Ann. Henri Poincaré
17,
2801-2824 (2016)
e-print Archive: 1301.2909
Augustine of Hippo's philosophy of time meets
general relativity
Originally wrote for the FQXi
contest "What is Ultimately Possible in Physics?" under the title "Can
God find a place in physics? St. Augustine's philosophy meets general
relativity".
Kronoscope
14, 71-89 (2014)
e-Print Archive: 0909.3876v3
Relativistic Chasles' theorem and the conjugacy
classes of the inhomogeneous Lorentz group
J. Math. Phys. 54, 022501 (2013)
e-print Archive:
1205.4131
Causally simple inextendible spacetimes are
hole-free
J. Math. Phys. 53, 062501
(2012)
e-print Archive: 1204.3012
(with J.J.
Benavides-Navarro) Global
hyperbolicity is stable in the interval topology
J. Math. Phys. 52, 112504 (2011)
e-print Archive:
1108.5120
(with A.
García-Parrado Gómez-Lobo)
Product posets and causal automorphisms of the plane
Class. Quantum Grav. 28, 147001 (2011)
e-print Archive:
1105.2192
Time
functions as utility functions
in Advances in
Lorentzian Geometry:
Proceedings of the conference `New Developments in Lorentzian Geometry'
in Berlin 2009, AMS/IP Studies in Advanced Mathematics, vol. 49, Amer.
Math. Soc., Providence, RI, 2011, pp. 97-104.
Time functions as
utilities
Commun. Math. Phys. 298,
855-868 (2010)
e-Print Archive:
0909.0890
In a distinguishing spacetime the horismos
relation generates the causal relation
Class. Quantum Grav. 26, 165005 (2009)
e-Print Archive: 0904.3263
(with M. Rinaldelli)
Widening the light cones on subsets of spacetime: some variations to
stable causality
Class. Quantum Grav. 26, 175004 (2009)
e-Print Archive: 0904.2330
On the global existence of time
Int. J. Mod. Phys. D 18, 2135-2144
(2009)
This essay has been awarded the third prize at the FQXi contest "The
nature of time" http://fqxi.org/community/essay/winners.
Luckily thanks to this result I have become a member of FQXi.
e-Print Archive: 0901.0904
Characterization of some causality
conditions through the continuity of the Lorentzian distance
J. Geom. Phys. 59, 827-833 (2009)
e-Print Archive: 0810.1879
K-causality coincides with stable causality
Commun. Math. Phys.
290 239-248
(2009)
e-Print Archive: 0809.1214
On
the existence of time in non-singular spacetimes
Journal
of Physics: Conference Series, 174 (2009) 012068
Fourth international Workshop DICE 2008 Castello Pasquini, Castiglioncello (
Chronological null complete spacetimes admit a global time
In Physics and
mathematics of gravitation K.
Kunze, M. Mars, and M. Vazquez-Mozo, editors, , volume 1122 of
AIP
Conference Proceedings, pages 352-355 (AIP, New York, 2009). Spanish
RelativityMeeting, Salamanca, 15 - 17 September 2008.
e-Print Archive: 0807.0103
Chronological spacetimes without lightlike
lines are stably causal
Commun. Math. Phys.
288, 801-819
(2009)
e-Print Archive: 0806.0153
Non-imprisonment
conditions on spacetime
J. Math. Phys. 49, 062503 (2008)
e-Print Archive: 0712.3949
Weak
distinction and the optimal definition of causal continuity
Class. Quantum Grav. 25, 075015 (2008)
e-Print Archive:
0712.0338
Limit curve theorems in Lorentzian geometry
J. Math. Phys. 49, 092501
(2008)
e-Print Archive: 0712.3942
The causal ladder and the strength of
K-causality: II
Class. Quantum Grav. 25, 015010 (2008)
e-Print Archive: gr-qc/0703128
The causal ladder and the strength of
K-causality: I
Class. Quantum Grav. 25, 015009 (2008)
e-Print Archive: 0708.2070
On the causal properties of warped product
spacetimes
Class. Quantum Grav. 24, 4457–4474 (2007)
e-Print Archive: gr-qc/0612182
(with M. Sánchez Caja) The
causal hierarchy of spacetimes
Contribution
to the
volume Recent
developments in pseudo-Riemannian Geometry
based on lectures given at the semester Geometry of pseudo-Riemannian
manifolds with application to physics at ESI,
Vienna, Sept - Dec 2005. (2006)
Lightlike dimensional reduction:
Causality of spacetimes admitting a parallel
null vector and weak KAM theory
e-print Archive:
1211.2685
Eisenhart's theorem and the causal simplicity
of Eisenhart's spacetime
Class. Quantum Grav. 24, 2781–2807 (2007)
e-Print Archive: gr-qc/0612014
Classical aspects of lightlike dimensional
reduction
Class. Quantum Grav. 23, 7085-7110
(2006)
e-Print Archive: gr-qc/0610011
Spacetime Connectedness and Lorentz force equation:
(with M. Sánchez Caja) Connecting
solutions of the
Lorentz force equation do exist
Commun.
Math. Phys. 264,
349-370
(2006)
e-Print Archive: math-ph/0505014
Comment on
``The Avez-Seifert theorem for the relativistic Lorentz force
equation'' and
other related works
e-Print Archive: math-ph/0505006
Maximizing
curves for the charged-particle action in globally hyperbolic spacetimes
Contribution
to the
proceedings of the "9th International conference on differential
geometry
and its applications"
e-Print Archive: gr-qc/0412074
(with E. Caponio) Solutions
to the Lorentz force equation with fixed
charge-to-mass ratio in globally hyperbolic spacetimes
J.
Geom. Phys. 49, 176-186 (2004)
e-Print Archive: gr-qc/0211100
On the
existence of maximizing curves for the charged-particle action
Class. Quantum Grav. 20, 4169-4175 (2003)
e-Print Archive: gr-qc/0303111
Time, simultaneity, and coordinates (see also the causality section):
(with A. Macdonald) Comment
on "A one-way speed of light experiment" by E. D. Greaves, et
al. Am. J. Phys. 77 (10), 894-896 (2009)
e-Print
Archive: 0911.4865
Towards
a closed differential aging formula in special relativity
J.
Phys.: Conf. Ser. 66 012020
e-Print Archive:
Simultaneity
in special and general relativity
Contribution
to the
proceedings of the school "Relativistic Coordinates, Reference and
Positioning Systems",
e-Print Archive: gr-qc/0506127
Spacelike
slices from globally well-behaved simultaneity connections
Contribution
to the
proceedings of the "Spanish Relativity Meeting, Beyond General
Relativity",
e-Print Archive: gr-qc/0501055
Minkowski
metric in non-inertial observer radar coordinates
Am. J. Phys. 73, 1117-1121 (2005)
e-Print Archive: physics/0412024
Relativity principles in 1+1
dimensions and differential aging reversal
Found. Phys. Lett. 19, 353-365 (2006)
e-Print Archive: physics/0412010
Differential
aging from acceleration: An explicit formula
Am. J. Phys. 73, 876-880 (2005)
e-Print Archive: physics/0411233
A globally
well-behaved simultaneity connection for stationary frames in the weak
field
limit
Class. Quantum Grav. 21,
4123-4146 (2004)
e-Print Archive: gr-qc/0405139
Found.
Phys. Lett. 16, 593-604 (2003)
e-Print Archive: gr-qc/0211091
Simultaneity
and generalized connections in general relativity
Class. Quantum Grav. 20, 2443-2456
(2003)
e-Print Archive: gr-qc/0204063
Found.
Phys. Lett. 15,
l53-169 (2002)
e-Print Archive: gr-qc/0103049
Topological preordered spaces:
Convexity
and quasi-uniformizability of closed preordered spaces
Topol. Appl. 160
965-978 (2013).
e-Print Archive: 1212.3776
Compactification of closed preordered spaces
Appl. Gen. Topol. 13,
207-223 (2012)
Quasi-pseudo-metrization of topological
preordered spaces
Topol. Appl. 159
2888-2898 (2012)
e-Print Archive: 1202.4648
Topological conditions for the representation
of preorders by continuous utilities
Appl. Gen. Topol. 13,
81-89 (2012)
e-Print Archive: 1108.5123
Normally preordered spaces and utilities
Order 30, 137-150 (2013) Published online Sept. 2011
e-Print Archive: 1106.4457
(Contains a second proof of the main theorem)
Study of the gauge principle:
(with C.
Tejero Prieto) A
topological interpretation of the color charge
Mod. Phys. Lett. A, 22, 1143-1151
(2007)
e-Print Archive: hep-th/0611167
(with C.
Tejero Prieto and A. López Almorox) Weak
gauge principle and electric charge quantization
J. Phys. A: Math. Gen.
39,
9591-9610 (2006)
e-Print Archive: hep-th/0510016
Inclusion of a perfect fluid term into the
Einstein-Hilbert action
e-print
Archive: 1606.00082
Proper time and conformal problem in
Kaluza-Klein theory
Int. J. Geom. Meth. Mod. Phys.,
12 1550063
(2015).
e-Print Archive: 1502.05521
A unifying mechanical equation with
applications to non-holonomic constraints and dissipative
phenomena
J. Geom. Mech. 7 (2015) 473-482
e-Print Archive: 1410.0254
Special relativity as the limit of an
Aristotelian universal friction theory under Reye's assumption
e-Print Archive: 1412.0010
Rayleigh's dissipation function at work
Eur. J. Phys.,
36 03514
(2015)
e-Print Archive: 1409.4041
Spacetime metrics from gauge potentials
Symmetry 6 164-170 (2014)
e-Print Archive:
1403.7054
The
equality of mixed partial derivatives under weak differentiability
conditions
e-Print Archive: 1309.5841
Real Analysis Exchange 40 81-98 (2015)
Completeness of first and second order ODE
flows and of Euler-Lagrange equations
J. Geom. Phys. 97 (2015) 156-165
e-Print Archive: 1307.6683
A geometrical introduction to screw theory
Eur. J. Phys., 34, 613-632 (2013) .
e-Print Archive: 1201.4497
Unfortunately, the fonts chosen by the Editor cannot be
easily distinguished, thus the Archive version should be
preferred.
An equivalent form of Young's inequality with
upper bound
Appl. Anal. Discrete Math.
2, 213-216
(2008).
e-Print Archive: 0802.1334
Possible relation between galactic flat
rotational curves and the Pioneers' anomalous acceleration
New
Astron. 12, 142-145 (2006)
e-Print Archive: astro-ph/0603790
Brownian motion on the relativistic velocity
space
Published at p. 528-531 of AIP
Conference Proceedings, Vol. 841, A Century of Relativity Physics:
XXVIII Spanish
Relativity Meeting, 6-10 September 2005, edited by L.
Mornas and J. Diaz Alonso, American Institute of Physics, Melville,
2006
Gauge invariance in teleparallel gravity
theories: A solution to the background structure problem
Phys.
Rev. D 65, 084048 (2002)
e-Print Archive: gr-qc/0112036
Orthogonal Polynomial Method and Odd Vertices
in Matrix Models
J.
Math. Phys. 41,
3257-3267 (2000)
e-Print Archive: hep-th/9908191