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Inverse problems in spacetime I: Inverse problems for Einstein equations - Extended preprint version
[article]
2014
arXiv
pre-print
We consider inverse problems for the coupled Einstein equations and the matter field equations on a 4-dimensional globally hyperbolic Lorentzian manifold (M,g). We give a positive answer to the question: Do the active measurements, done in a neighborhood U⊂ M of a freely falling observed μ=μ([s_-,s_+]), determine the conformal structure of the spacetime in the minimal causal diamond-type set V_g=J_g^+(μ(s_-))∩ J_g^-(μ(s_+))⊂ M containing μ? More precisely, we consider the Einstein equations
arXiv:1405.4503v1
fatcat:mproukbnizalzgagymykxaoeoe