Under preparation (pandemic time)

• Diaz, L., Numerical construction of asymptotically flat static spacetimes with inner boundary conditions.

• Diaz, L., A finite difference method for solving numerically of the Benjamin-ono equation in a non-uniform grid.

• Diaz, L., A spectral-infinite element method for solving the hyperbolic Einstein constraint equations.

Ph.D. thesis

• Studies of spacetimes with spatial topologies S3 and S1XS2, Doctoral dissertation, University of Otago, (2016).

Under the supervision of Dr. Florian Beyer and Prof. Jörg Frauendiener.

Some Publications

• Beyer, F., Escobar, L., Frauendiener, J., & Ritchie, J. (2019). Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations. Classical and Quantum Gravity.

• Beyer, F., Escobar, L., & Frauendiener, J. (2017). Asymptotics of solutions of a hyperbolic formulation of the constraint equations. Classical and Quantum Gravity, 34(20):205014.

• Beyer, F., Escobar, L., & Frauendiener, J. (2017). Criticality of inhomogeneous Nariai-like cosmological models. Physical Review D, 95(8), 084030.

• Beyer, F., Escobar, L., & Frauendiener, J. (2016). Numerical solutions of Einstein’s equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1). Physical Review D, 93(4), 043009.

• Beyer, F., & Escobar, L. (2013). Graceful exit from inflation for minimally coupled Bianchi A scalar field models. Classical and Quantum Gravity, 30(19), 195020.

• Arango, J., Escobar, L., & Reyes, C. (2012). Figuras de Chladni en tambores. Lecturas matemáticas, 33(1), 5-18.