Numerical Solutions of Hawking's Equations for Gravitational Waves in Evolutionary Universe

Authors

• Pablo Abramian Barco, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
• Armen Gulian, Chapman UniversityFollow

Files

Description

Search for fast growing infinitesimal perturbations in the Friedmann-Lemaître- Robertson-Walker universe within Einstein’s General Relativity is regarded as very important for explanation of observational inhomogeneities like nebulae and clusters of galaxies. However, despite a lot of efforts no fast growing mode has been obtained in exploring density perturbations, rotations, and gravitational waves in initially homogeneous and isotropic cosmological model. That left modern cosmological paradigm with finite initial inhomogeneities of ill-defined origin, requiring also strong preponderance of even more undetermined “dark matter”, to explain the observational universe.

Here we report on numerical solutions of Hawking’s equations for gravitational waves in evolutionary universe, which includes the wave-matter interaction. We re-derive these equations from scratch to eliminate some noticed inaccuracies. On that basis we demonstrate that at the early "barionic" state of evolving Euclidean universe fluctuations of shear may cause perturbation of curvature of space-time determined by the Weyl tensor, i.e., perturbations of gravitational wave-type. This observation was missed in the previous analytical consideration. For finding out if this instability can be a source of nucleation assisting at creation of primordial inhomogeneity in the universe, further analysis seems now feasible.

The importance of our results increases with the opening of a gravitational wave astronomical window by recent LIGO achievements.

ISBN

978-1-53612-246-6

Publication Date

7-2017

Publisher

Nova Science Publishers

City

Hauppauge, NY

Disciplines

Cosmology, Relativity, and Gravity | Other Physics

Comments

In Isaac Carson (Ed.), Gravitational Waves: Explorations, Insights and Detection.

Recommended Citation

Barco, A. B., and Gulian, A. Numerical solutions of Hawking's qquations for gravitational waves in evolutionary universe. In: I. Carson (Ed.), Gravitational waves: Explorations, insights and detection. Nova Science Publishers, Hauppauge, 2017.

Copyright

Nova Science Publishers