Energy Estimates of Maxwell-Higgs System on Schwarzchild Black Hole Mulyanto (a), Fiki Taufik Akbar (a), Bobby Eka Gunara (a*)
(a) Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
Abstract
In this paper, we study the energy estimates of the decoupled Maxwell-Higgs system in the exterior region of Schwarzschild spacetimes. We show that if the field equations verify a Morawetz-type estimate supported around the trapped surface, we can attain the estimates of the Maxwell-Higgs system energy. This result is essential to prove the uniform decay properties in the entire exterior of the Schwarzschild black hole.
Keywords: Energy estimates, Maxwell-Higgs, Schwarzchild spacetimes
