Gravitational collapse of a polytropic distribution of matter out of the spherical symmetry in the null characteristic formulation of general relativity

• Grant number: 13/11990-1
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2013
• End date: August 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Jose Carlos Neves de Araujo
• Grantee: Jose Carlos Neves de Araujo
• Host Institution: Instituto Nacional de Pesquisas Espaciais (INPE). São José dos Campos , SP, Brazil
• City of the host institution: São José dos Campos

Abstract

In this project we study the gravitational collapse of a polytropic distribution of matter out of the spherical symmetry in the characteristic formulation of general relativity. A parallelized numerical code is being developed for this purpose. For the numerical solution of the problem at hand we will make use of processing in mixed platform where CPUs (in platform OpenMPI) and GPU (in CUDA) are used simultaneously. Moreover, algebraic codes that have been developed in order to expedite obtaining and the simplification of the equations of the problem considered here are being improved and generalized. The purpose is to develop "packages" that can be applied to arbitrary spacetimes. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CEDENO M, C. E.; DE ARAUJO, J. C. N.. Master equation solutions in the linear regime of characteristic formulation of general relativity. Physical Review D, v. 92, n. 12, p. 11-pg., 2015-12-08. (13/11990-1)

CEDENO M, C. E.; DE ARAUJO, J. C. N.. Master equation solutions in the linear regime of characteristic formulation of general relativity. Physical Review D, v. 92, n. 12, DEC 8 2015. (13/11990-1)

CEDENO, C. E. M.; DE ARAUJO, J. C. N.. Point particle binary system with components of different masses in the linear regime of the characteristic formulation of general relativity. Classical and Quantum Gravity, v. 33, n. 10, MAY 19 2016. (13/11990-1)

CEDENO MONTANA, C. E.; DE ARAUJO, J. C. N.. Gravitational radiation by point particle eccentric binary systems in the linearised characteristic formulation of general relativity. GENERAL RELATIVITY AND GRAVITATION, v. 48, n. 4, APR 2016. (13/11990-1)