30 March 2020 to 3 April 2020
Porto Rio Hotel, Patras, Greece
Europe/Athens timezone

A computational method for differentially rotating polytropic models in post-Newtonian approximation

Not scheduled
15m
Room 1

Room 1

Oral Presentation General relativity, mergers and gravitational waves Poster Session

Speaker

Mr Athanasios Fotopoulos (University of Patras)

Description

In this study, we develop an iterative method for computing both rigidly and differentially rotating polytropic models in critical rotation. We work in the framework of post-Newtonian theory in order to simulate fully relativistic rotating neutron stars. Our method results as combination of three methods: the "Hybrid Approximative Scheme" (HAS), the "Complex-plane Iterative Technique" (CIT), and the "Seguin’s Post-Newtonian Iterative Method". We implement this method to the computation of various physical characteristics of a neutron star (eg., gravitational, proper and baryonic mass, gravitational potential energy, rotational kinetic energy, equatorial and polar radius, etc.). We verify the validity of the method by comparing its numerical results with the corresponding results of other reliable numerical methods.

Author

Mr Athanasios Fotopoulos (University of Patras)

Co-authors

Vasileios Karageorgopoulos (University of Patras) Prof. Vassilis Geroyannis (University of Patras)

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