For info on projects see FQXi projects

ORCID iD iconhttps://orcid.org/0000-0002-8293-3802

Publications:

Books:



(with Sabrina Rossi)
Principi di conservazione
140 p. Alpha Test Editions (physics exercises for the University, in Italian).
ISBN: 88-483-0309-9


Copertina Libro

 
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 (Italy), September, 2014

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 (Italy), September 22 - 26, 2008

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. 25075015 (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)
e-Print Archive: gr-qc/0609119

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" Prague, August 30 - September 3, 2004
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", Salamanca (Spain), January 21 - 25, 2005
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", Miraflores de la Sierra, Madrid, September 23 - 25, 2004
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

(with A. Macdonald) Universal one-way light speed from a universal light speed over closed paths
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

On the Conventionality of Simultaneity
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

Other topics:

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