Decay Estimate of Maxwell-Higgs System on Schwarzschild Black Holes

2023/05/24 by Mulyanto Mulyanto, Mulyanto, Fiki T. Akbar +3
Mathematics · Medicine · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Soft tissue tumor case studies

paper · pdf · doi:10.48550/arxiv.2305.15049

openalex publication_date 2023/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the decay estimate of Maxwell-Higgs system on four dimensional Schwarzschild spacetimes. We show that if the field equations support a Morawetz type estimate supported around the trapped surface, the uniform decay properties in the entire exterior of the Schwarzschild black holes can be obtained by using Sobolev inequalities and energy estimates. Our results also consider various forms of physical potential such as the mass terms, ϕ⁴-theory, sine Gordon potential, and Toda potential.

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