RESEARCH, BOOKS, COURSES, PRESENTATIONS

Some Books and Special Editions

• The True Story of Modern Cosmology (Springer-Nature, Berlin, 2021)   covers  

• Cosmología moderna: desde sus orígenes (Ed. Catarata, Madrid, 2020) 

• Applications of zeta functions and other spectral functions in mathematics and physics: a special issue in honour of Stuart Dowker's 75th birthday, Eds. F. Dowker, E. Elizalde and K. Kirsten, Journal of Physics A45, 370301-374027 (IOP, London, 2012) 

• Ten Physical Applications of Spectral Zeta Functions, 2nd Ed. (Springer Verlag, 2012) 

• Cosmology, Quantum Vacuum, and Zeta Functions: In Honor of Emilio Elizalde, Eds. D. Sáez-Gómez, S.D. Odintsov and S. Xambó (Springer Verlag, Berlin, 2011) 

• Cosmology, the Quantum Vacuum, and Zeta Functions: A Choice of Papers, Eds. V.V. Obukhov and S.D. Odintsov (Ed. TSPU, Russia, 2010) 

• The Casimir Effect and Cosmology, Eds. S.D. Odintsov, E. Elizalde and O. Gorbunova (Ed. TSPU, Russia, 2009) ISBN 978-5-89428-415-6 

• 7th Quantum Field Theory under the Influence of External Conditions, Eds. E. Elizalde and S.D. Odintsov, Journal of Physics A39, 6109-6822 (IOP, London, 2006)  

Two Books and Two Papers on Applications of Zeta and other Special Functions

• Ten Physical Applications of Spectral Zeta Functions (Springer Verlag, 1995), Second Ed (Springer Verlag, 2012)  

• Zeta regularization techniques with applications (World Sci, 1994), with A.A. Bytsenko, S.D. Odintsov, A. Romeo, S. Zerbini 

• Rigorous extension of the proof of Zeta Function Regularization, Phys. Rev. D40 (1989) 436, with A. Romeo

• Multiple zeta functions with arbitrary exponents, J. Phys. A22 (1989) 931-942 (revised)

A Book and Seven Basic Papers on Heat Kernels, the Vacuum Energy, and the Casimir Effect

• Analytic Aspects of Quantum Fields (World Sci, 2004), with A.A. Bytsenko, G. Cognola, V. Moretti, S. Zerbini   

• Casimir energy in the MIT bag model, J. Phys. A31 (1998) 1743-1759, with M. Bordag, K. Kirsten

• Casimir energies for massive fields in the bag, Phys. Rev. D56 (1997) 4896-4904, with M. Bordag, K, Kirsten, S. Leseduarte

• Heat-kernel coefficients of the Laplace operator on the D-dimensional ball, J. Math. Phys. 37 (1996) 895-916, with M. Bordag, K. Kirsten

• Casimir effect in de Sitter and anti de Sitter braneworlds, Phys. Rev. D67 (2003) 063515, with S. Nojiri, S.D. Odintsov, S. Ogushi

• Casimir energies for spherically symmetric cavities, J. Phys. A34 (2001) 7311-7327, with G. Cognola, K. Kirsten

• The vaccum energy for spherical and cylindrical universes, J. Math. Phys. 35 (1994) 3308-3321

• Essentials of the Casimir effect and its computation, Amer. J. Phys. 59 (1991) 711-719, with A. Romeo

On Determinants and the Multiplicative Anomaly

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue, Commun. Math. Phys. 194 (1998) 613-630, with L. Vanzo, S. Zerbini

• Zeta function determinant of the Laplace operator on the D-dimensional ball, Commun. Math. Phys. 179 (1996) 215-234, with M. Bordag, B. Geyer, K. Kirsten

On Cosmology and Quantum Gravity

• From the creation of particles in the vacuum by an accelerated observer to space-time thermodynamics, J. Phys. A: Math. Theor. 50 (2017) 041001

• A class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion, Phys. Rev. D77 (2008) 046009, with G. Cognola, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini

• Dark energy in modified Gauss-Bonnet gravity: late time acceleration and the hierarchy problem, Phys. Rev. D73 (2006) 084007, with G. Cognola, S. Nojiri, S.D. Odintsov, S. Zerbini

• Observational constraints on dark energy with inhomogeneous equation of state, Phys. Rev. D73 (2006) 043512, with S. Capozziello, V.F. Cardone, S. Nojiri, S.D. Odintsov

• One-loop f(R) gravity in de Sitter universe, JCAP 0502 (2005) 010, with G. Cognola, S. Nojiri, S.D. Odintsov, S. Zerbini

• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up, Phys. Rev. D70 (2004) 043539, with S. Nojiri, S.D. Odintsov

• Dark energy: vacuum fluctuations, the effective quantum phase, and holography, Phys. Rev. D71 (2005) 103504, with S. Nojiri, S.D. Odintsov, P. Wang

• Cosmology: Techniques and Observations, Proceedings of the II International Conference on Fundamental Interactions, Pedra Azul, Brazil, June 2004

• Born-Infeld quantum condensate as dark energy in the universe, Phys. Lett. B574 (2003) 1, with J.E. Lidsey, S. Nojiri, S.D. Odintsov

• Phantom and quantum matter in an Anti-de Sitter Universe Mod. Phys. Lett. A19 (2004) 29-36, with J. Quiroga Hurtado

• Non-Gaussian traces in the variance from small scale CMB observations, MNRAS 295 (1998) 35, with P. Fosalba, E. Gaztañaga  

On the Chowla-Selberg formula  

• Multidimensional extension of the generalized Chowla-Selberg formula, Commun. Math. Phys. 198 (1998) 83 

• Analysis of an inhomogeneous generalized Epstein-Hurwitz zeta function with physical applications, J. Math. Phys. 35 (1994) 6100  

• Explicit zeta functions for bosonic and fermionic fields on a noncommutative toroidal space-time, J. Phys. A34 (2001) 3025                      

On Information Theory: Data Compression and Transmission  

• Data compression on board the PLANCK Satellite Low Frequency Instrument: optimal compression rate, Astrophys. Lett. Commun. 37 (2000) 273, with E. Gaztañaga, A. Romeo, J. Barriga, P. Fosalba

• Processing and compression of noise-dominated data: application to the CMB data on board of the PLANCK satellite, MNRAS 320 (2001) 12, with E. Gaztañaga, A. Romeo, J. Barriga

• Information content in Gaussian noise: optimal compression rates, Int. J. Mod. Phys. C10 (1999) 687, with A. Romeo, J. Barriga, E. Gaztañaga

Modern Cosmology & Historical Issues  

• Einstein, Barcelona, Symmetry & Cosmology: The Birth of an Equation for the Universe, Symmetry 15 (2023) 1470

• Mathematical singularities in the farthest confines of the Universe --and a brief report on its evolutionary history, Universe 9 (2023) 33

• Topics in Cosmology—Clearly Explained by Means of Simple Examples, Universe 8 (2022) 1665

• Reasons in favor of a Hubble-Lemaître-Slipher's (HLS) law, Symmetry 11 (2019) 35

• All that Matter ... in One Big Bang ..., & Other Cosmological Singularities, Galaxies 6 (2018) 25  

• Blog: Obrint els Ulls ...  (in Catalan)

Three PhD Courses

• Einstein's Equations: Geometry & Physics of the Universe (University of Lleida, 2017, in Catalan)

• Cosmology, Vacuum Energy, Zeta Functions (MiniCourses in Astrophysics and Cosmology, Nov-Dec 2011)

• Advanced Mathematical Methods (University of Barcelona, 2003, in Catalan)

Popular articles on Cosmology, the Casimir effect, and the Cyberspace

• ¿Qué es el principio de equivalencia de Einstein? Una explicación sencilla inspirada en Galileo (Revista Muy Interesante, septiembre 2025) (in Spanish) Article

• Momentos "Eureka" decisivos en la historia de la Física (Revista Muy Interesante, mayo 2025)  (in Spanish) Article 

• Esta es la idea más brillante de Albert Einstein que cambió para siempre nuestra comprensión de la gravedad y el espacio-tiempo. Ciencia e Innovación (Revista Muy Interesante, marzo 2025) (in Spanish) Article

• No es lo mismo saber que entender (Revista Española de Física 38, n4, 37-40, 2024) (in Spanish)

• ¿Existen universos paralelos? La ciencia responde (Revista Muy Interesante, diciembre 2024) (in Spanish) Article

• Inteligencia artificial vs. inteligencia humana (Revista Española de Física 38-2, 42-48, 2024) (in Spanish)

• Las cuatro preguntas fundamentales de Stephen Hawking (TheConversation, 13 marzo 2024) (in Spanish)

• La gravedad está en crisis (TheConversation, 24 enero 2024) (in Spanish)

• La esencia de la teoría de la relatividad de Einstein (TheConversation, 9 enero 2024) (in Spanish)

• Singularidades matemáticas en los confines del Universo (y una fugaz aproximación a su historia) (Revista Española de Física 37-3, 13-21, 2023) (in Spanish)

• Contextos histórico, científico y social en torno de la visita de Albert Einstein a España (Revista Española de Física 37-2, 6-17, 2023) (in Spanish)

• A propósito de Weinberg, su explicación del mundo y mi libro de cosmología (Revista Española de Física 36-2, 13, 2022) (in Spanish)

• Alan Guth y su extraordinaria propuesta de inflación cósmica (Revista Española de Física 36-1, 1, 2022) (in Spanish)

• Del preprint a la web: una visión personal sobre los orígenes del ciberespacio (Revista Española de Física 35-4, 1, 2021) (in Spanish)

• Recordando a Stephen Hawking (Revista Española de Física 35-2, 41, 2021) (in Spanish)

• Acerca del Big Bang y el origen del Universo (Revista Española de Física 35-1, 1, 2021) (in Spanish)

• Descubrimientos teóricos de la física del cosmos (Revista Española de Física 33-4, 39, 2019) (in Spanish)

• On how the Cyberspace arose to fulfill theoretical physicists' needs and eventually changed the World (Springer, 2017)

• Cosmological Constant and Dark Energy: Historical Insights (InTech, Oct 2012)

• L'origen i el futur de l'Univers (Astronomia, Enciclopedia Catalana, Mar 2012) (in Catalan)

• Origen i evol.lucio de l'Univers (Appendix a Liber Chaos, Ramon Llull, Abr 2011) (in Catalan)

• El efecto Casimir (Investigación y Ciencia, Marzo 2009) (in Spanish)

Some PhD Thesis in the group

• Theories of modified gravity and reconstruction schemes of cosmological models Antonio Jesús López Revelles (November 2013)

• On Friedmann-Lemaître-Robertson-Walker cosmologies in non-standard gravity Diego Sáez Gómez (March 2011)