Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field

Fang, Allen Juntao; Wang, Qian; Yang, Shiwu

doi:10.1007/s40818-021-00092-4

Cited by 10 publications

(3 citation statements)

References 17 publications

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“…The first of these papers removed the assumption of smallness for the field F, and the second removed it for φ as well, though in each case the fields were assumed to be in certain weighted Sobolev spaces. Results for the massive case with small initial data (not necessarily compactly supported) were shown for Klainerman-Wang-Yang [28] and for large F by Fang-Wang-Yang [14].…”

Section: 22mentioning

confidence: 97%

Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates

Kauffman¹,

Lindblad²

2021

Preprint

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We prove global existence for Einstein's equations with a charged scalar field for initial conditions sufficiently close to the Minkowski spacetime without matter. The proof relies on generalized wave coordinates adapted to the outgoing Schwarzschild light cones and the estimates for the massless Maxwell-Klein-Gordon system, on the background of metrics asymptotically approaching Schwarzschild at null infinity in such coordinates, by Kauffman [23]. The generalized wave coordinates are obtained from a change of variables, introduced in Lindblad [34], to asymptotically Schwarzschild coordinates at null infinity. This in particular gives a simplified proof in the vacuum case with precise asymptotics.

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Section: 22mentioning

confidence: 97%

Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates

Kauffman¹,

Lindblad²

2021

Preprint

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“…Differential identities. We recall the following energy estimate (see for example the applications on Maxwell equations in [24,8]). Let K 1 := t∂ t + x a ∂ a .…”

Section: 1mentioning

confidence: 99%

“…Proof. The case n = 1 is direct from (8). For the case n ≥ 2, we take (11) and observe that, due to the fact 1…”

Section: 1mentioning

confidence: 99%

A rigidity property for a type of wave-Klein-Gordon system

Li,

2024

DCDS-S

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In this paper we investigate the rigidity property of a wave component coupled in a wave-Klein-Gordon system. We prove that when the radiation field of the wave component vanishes at the null infinity, the initial data of this component also vanish, therefore there is no wave in the whole spacetime. Introduction.In the present work we establish a rigidity result of the following Cauchy problem 1 of a wave-Klein-Gordon system in R 1+3 :

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Global Stability of Minkowski Space for the Einstein–Maxwell–Klein–Gordon System in Generalized Wave Coordinates

Kauffman

Lindblad

2023

Ann. Henri Poincaré

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Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field

Cited by 10 publications

References 17 publications

Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates

Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates

A rigidity property for a type of wave-Klein-Gordon system

Global Stability of Minkowski Space for the Einstein–Maxwell–Klein–Gordon System in Generalized Wave Coordinates

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