Simulating N-body systems for alternative theories of gravity using solvers from nonlocal optics

Tiago D. Ferreira; Nuno A. Silva; O. Bertolami; C. Gomes; Ariel Guerreiro

doi:10.1117/12.2527295

3 October 2019 Simulating N-body systems for alternative theories of gravity using solvers from nonlocal optics

Tiago D. Ferreira, Nuno A. Silva, O. Bertolami, C. Gomes, Ariel Guerreiro

Proceedings Volume 11207, Fourth International Conference on Applications of Optics and Photonics; 1120710 (2019) https://doi.org/10.1117/12.2527295
Event: IV International Conference on Applications of Optics and Photonics (AOP 2019), 2019, Lisbon, Portugal

Abstract

This paper reports the development of a numerical module for the HiLight simulation platform dedicated to the propagation of light in nonlocal nonlinear optical media and the adaptions implemented for it to be used as a numerical test-bed to evaluate the impact of new extensions of the Theory of General Relativity in the dynamics of a N-body system. The phenomenology of light in nonlocal and nonlinear media is very rich and can be described by a multitude of effective models, with different levels of detail and approximations, which coincide with few or no differences with those found in many other fields of physics. In particular, nonlocal extensions of the Generalized Nonlinear Schr¨odinger equation (also known as the generalized Schr¨odinger-Newton system) constitute a wide class of physical models that can be found in both optics and in the studies of alternative theories for gravity. Therefore, numerical solvers developed for the former can be adapted to address the later. Indeed, this paper discusses the adaptation of a numerical solver of the generalized Schr¨odinger-Newton system based on GPGPU supercomputing, initially developed to investigate the properties of light in exotic nonlocal media, to tackle the dynamics of large distributions of matter whose interaction is governed by extensions of the Theory of General Relativity, namely those based on non-minimal coupling between curvature and matter. This paper analysis the structure of the resulting simulation module, its performance and validation tests.

Citation Download Citation

Tiago D. Ferreira, Nuno A. Silva, O. Bertolami, C. Gomes, and Ariel Guerreiro "Simulating N-body systems for alternative theories of gravity using solvers from nonlocal optics", Proc. SPIE 11207, Fourth International Conference on Applications of Optics and Photonics, 1120710 (3 October 2019); https://doi.org/10.1117/12.2527295

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