Please use this identifier to cite or link to this item: https://hdl.handle.net/1783.1/103944
Determination of Space-Time Structures from Gravitational Perturbations
| Author |
Uhlmann, Gunther Alberto Arancibia
Wang, Yiran |
|---|---|
| Issue Date | 2020 |
| Source | Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367 |
| Abstract | We study inverse problems for the Einstein equations with source fields in a general form. Under a microlocal linearization stability condition, we show that by generating small gravitational perturbations and measuring the responses near a freely falling observer, one can uniquely determine the background Lorentzian metric up to isometries in a region where the gravitational perturbations can travel to and return. We apply the result to two concrete examples when the source fields are scalar fields (i.e., Einstein-scalar field equations) and electromagnetic fields (i.e., Einstein-Maxwell equations). (c) 2019 Wiley Periodicals, Inc. |
| DOI | 10.1002/cpa.21882 |
| ISSN | 0010-3640 |
| Language | English |
| Type | Article |
| Access |
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