Spherically Symmetric Einstein-scalar-field Equations for Slowly Particle-like Decaying Null Infinity

Chuxiao Liu; Xiao Zhang

doi:10.1007/s11464-024-0224-0

Frontiers of Mathematics ›› 2026, Vol. 21 ›› Issue (4) :1005 -1023. DOI: 10.1007/s11464-024-0224-0

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Spherically Symmetric Einstein-scalar-field Equations for Slowly Particle-like Decaying Null Infinity

Chuxiao Liu ¹^,⁴
, Xiao Zhang ²^,³^,⁴^,^a

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Abstract

We show that the spherically symmetric Einstein-scalar-field equations for small slowly particle-like decaying initial data at null infinity have unique global solutions.

Keywords

Einstein scalar field equations / spherically symmetric Bondi–Sachs metrics / slowly particle-like decaying null infinity / 53C50 / 58J45 / 83C05

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Chuxiao Liu, Xiao Zhang. Spherically Symmetric Einstein-scalar-field Equations for Slowly Particle-like Decaying Null Infinity. Frontiers of Mathematics, 2026, 21 (4) : 1005-1023 DOI:10.1007/s11464-024-0224-0

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