Spherically Symmetric Einstein-scalar-field Equations for Slowly Particle-like Decaying Null Infinity
Chuxiao Liu , Xiao Zhang
Frontiers of Mathematics ›› : 1 -19.
Spherically Symmetric Einstein-scalar-field Equations for Slowly Particle-like Decaying Null Infinity
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.
Einstein scalar field equations / spherically symmetric Bondi–Sachs metrics / slowly particle-like decaying null infinity / 53C50 / 58J45 / 83C05
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
Liu C., Zhang X., Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity. Adv. Math., 2022, 409: Paper No. 108642, 48 pp. |
| [12] |
Liu C., Zhang X., Spherically symmetric Einstein-scalar-field equations with potential for wave-like decaying null infinity. Sci. China Math., 2024, doi:https://doi.org/10.1007/s11425-024-2321-3 |
| [13] |
|
| [14] |
|
| [15] |
Luk J., Oh S.-J., Yang S., Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Ann. PDE, 2018, 4(1): Paper No. 3, 59 pp. |
| [16] |
Shen D., Global stability of Minkowski spacetime with minimal decay. 2023, arXiv: 2310.07483 |
| [17] |
Shen D., Exterior stability of Minkowski spacetime with borderline decay. 2024, arXiv: 2405.00735 |
| [18] |
Wijayanto M., Syahreza F., Akbar F., Gunara B., Global existence of classical static solutions of four dimensional Einstein–Klein–Gordon system. Gen. Relativity Gravitation, 2023, 55(1): Paper No. 19, 32 pp. |
Peking University
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