Special Session 175: Modern Trends in Partial Differential Equations and General Relativity

Waves in the Reissner-Nordstrom space-time
Anahit Galstyan
University of Texas Rio Grande Valley
USA
Co-Author(s):    
Abstract:
We consider the propagation of waves in the Reissner-Nordstrom space-time, which is gaining mass and charge in the universe with accelerating expansion, namely, the solutions of the linear and semilinear Klein-Gordon equations. We have been able to prove the existence of global in-time small data solutions of semilinear Klein-Gordon equations in this spacetime.