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math.AP2026

Redshift Suppression of Nonlinear Scalar Fields in Accelerating FLRW Spacetimes

Mirda Prisma Wijayanto, Emir Syahreza Fadhilla, Ryan Sugihakim +3

We study small--data solutions of a nonlinear scalar field equation on spatially flat --dimensional FLRW spacetimes (). In conformal time the field satisfies a dampe…

math.AP2026

Radiative Maxwell Scattering on Slowly Rotating Weakly Charged Kerr-Newman Black Holes

Bobby Eka Gunara, Mulyanto, Emir Syahreza Fadhilla +1

We study real source-free Maxwell fields on slowly rotating, weakly charged Kerr-Newman exteriors and set up a finite-energy scattering theory after removal of the stationary Coulo…

math.AP2026

Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors

Bobby Eka Gunara

We prove a threshold-sharp stability theory for the conformal scalar-curvature sector on zero-curvature Carter backgrounds. The main result is a fully closed bounded-slab theorem:…

math.AP2026

Threshold asymptotics and decay for massive Maxwell on subextremal Reissner--Nordström

Bobby Eka Gunara

We study the neutral massive Maxwell (Proca) equation on subextremal Reissner--Nordström exteriors. After spherical-harmonic decomposition, the odd sector is scalar, while the eve…

math.AP2025

The Global Existence and Uniqueness of Maxwell-Chern-Simons-Higgs Equation in (2+1) Dimensions

Mulyanto, Ardian N. Atmaja, Fiki T. Akbar +1

In this paper, we show the global existence and uniqueness of classical solutions of the Maxwell-Chern-Simmons-Higgs system coupled to a neutral scalar with nontrivial scalar poten…

math.AP2024

Uniform Energy Bound for Maxwell-Higgs Equations on Reissner-Nordström Spacetimes

Mulyanto, Ardian N. Atmaja, Fiki T. Akbar +1

In this paper, we prove the uniform energy bound for the Maxwell-Higgs system in the exterior region of Reissner-Nordström black holes. By employing an integrated local energy dec…