Non-Parallel Electric and Magnetic Fields in a Gravitational Background, Stationary Gravitational Waves and Gravitons

TL;DR

This paper explores electromagnetic fields with parallel electric and magnetic components in gravitational backgrounds, investigates stationary gravitational waves, and develops a quantum gravity model with verified unitarity at tree level.

Contribution

It introduces a non-parallel electromagnetic solution in gravitational fields, analyzes stationary gravitational waves, and constructs a consistent quantum gravity model.

Findings

Existence of non-parallel electromagnetic solutions in gravitational fields

Possibility of stationary gravitational waves in nature

Verification of tree-level unitarity in the quantum gravity model

Abstract

The existence of an electromagnetic field with parallel electric and magnetic field components in the presence of a gravitational field is considered. A non-parallel solution is shown to exist. Next, we analyse the possibility of finding stationary gravitational waves in nature. Finally, we construct a D=4 effective quantum gravity model. Tree-level unitarity is verified.