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# Fabio Briscese

INdAM-COFUND Reintegration fellow between 2012-06-18 and 2014-06-17

### Project information

#### Title

MMGC: Mathematical models and numerical methods for gravitation and cosmology

#### Partner organisation

Universita degli studi di Roma “La Sapienza”

Dipartimento di Scienze di Base ed Applicate per l’Ingegneria

Via Antonio Scarpa, 14-16

00161 Rome, Italy

#### Abstract

This research proposal concerns mathematical physics and in particular the study of mathematical models for cosmology and gravitation.

It is composed of three parts. The first part consists in the analysis of the properties of modified models of gravitation and the study of the growth of cosmological perturbations for such class of models. The second part is devoted to the study of Bose-Einstein condensates as dark matter. I plan to study cosmological perturbations also for such class of models. Finally, the third part of my proposal is the study of the properties of relativistic Bose-Einstein condensates, and in particular of Bose-Einstein condensates with a deformed energy-momentum relation.

A strong effort is also made in comparing theoretical models with experimental data. This implies the use of numerical codes to resolve the dynamical equations that governs the evolution of the system and then to compare the model with data.

This results in an highly interdisciplinary research plan involving the use of standard mathematical physics methods, of

numerical methods for the solution of differential equations and of statistical data analysis. A collaboration with several mathematicians and physicists of different universities and research centers is also planned, all of which will hopefully result in creating a rich research environment in frontiers of mathematics and physics.

### Fellow information

#### Research interests

- Mathematical Physics
- Gravitation and Cosmology
- Quantum Gravity
- Bose-Einstein Condensates
- Non Commutative Geometry

#### Previous positions, awards

*October 2011-May 2012*: Reader at the School of Physics of

UIS-Universidad Industrial de Santander in Bucaramanga, Colombia*March 2008-February 2011*: Postdoctoral position at Physics Institute of

UNAM University in Mexico City, Mexico*November 2004-February 2008*: Ph.D. in applied mathematics at the

Me. Mo. Mat. department, “La Sapienza” University of

Rome.

#### Publications, preprints, other works

- F. Briscese, M. Grether, M. de Llano,
*Planck-scale effects on Bose-Einstein condensates*, EPL 98 (2012) 60001 - F. Briscese,
*Viability of complex self-interacting scalar field as dark matter*, Phys. Lett. B 696 (07 February 2011) 315-320 - G. Amelino-Camelia, F. Briscese, G. Gubitosi, A. MarcianÃ², P. Martinetti, and F. Mercati,
*Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle*, Phys. Rev. D 78, 025005 (07 July 2008) - F. Briscese and E. Elizalde,
*Black hole entropy in modified-gravity models*, Phys. Rev. D 77, 044009 (07 February 2008) - F. Briscese, E. Elizalde, S. Nojiri, and S. D. Odintsov,
*Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity.*, Phys. Lett. B 646 (08 March 2007) 105-111 - F. Briscese,
*Self-interacting complex scalar field as dark matter*, AIP Conf. Proc. 1396, 176-180 (October 14 2011) - A. de la Macorra and F. Briscese,
*Dark energy due to late time quantum decay process*, AIP Conf. Proc. 1241, 811-815 (June 23 2010) - A. de la Macorra and F. Briscese,
*Quantum regeneration of dark energy and unification with the inflation field*, AIP Conf. Proc. 1116, 179-187 (April 20 2009) - F. Briscese,
*Cosmology with Quantum-Gravity-Inspired modifications of General Relativity*, Ph.D. thesis, available at http://www.dmmm.uniroma1.it/dottorato/tesi/Briscese.pdf

#### Conferences, schools, other events

*Meeting QFEXT 05*

Universitat Autonoma de Barcelona (UAB) Bellaterra (Barcelona), Spain, July 2005*Meeting on Planck scale in Astrophysics and Cosmologyâ*

La Sapienza University, Rome, Italy, June 2006*XI Marcel Grossmann Meeting*

Berlin, Germany, July 2006*School Cosmology on the beach,*

essential cosmology for the next generation

Los Cabos, Baja California, Mexico, January 2008*VIII School of the Gravitation and Mathematical*

Physics Division of the Mexican Physical Society

Playa del Carmen, Quintana Roo, Mexico, December 2009*School Cosmology on the beach, essential cosmology for*

the next generation

Playa del Carmen, Quintana Roo, Mexico, January 2010*VIII Workshop of the Gravitation and Mathematical*

Physics Division of the Mexican Physical Society

Tuxtla Gutierrez, Chiapas, Mexico, November 2010