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PreprintarXiv licencearXiv

Gravitational Reconstruction in AdS4

  • David A. Lowe
  • Yiru Wang
  • Juanyi Yang
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Abstract

We reconstruct linearized gravitational perturbations in AdS4 from a conserved, traceless stress tensor on a fixed conformally flat boundary metric, extending our earlier real Lorentzian construction. For admissible data with no spacelike Fourier support in a flat conformal frame, the physical response reduces to an integral over boundary light-cone cuts. Boundary improvements restore Fefferman--Graham (FG) gauge while preserving normalizability and the linearized Weyl tensor. We then reconstruct perturbations with general spacelike boundary momentum, including nonzero frequency and its zero-frequency limit, using explicit position-space generalized functions on real stress data. Boundary kernels are constructed for normalizable perturbations and sufficient conditions are derived for the reconstruction to converge. The results motivate controlled flat-space limits relevant to Bondi--Metzner--Sachs symmetries and celestial holography.

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Cite

BibTeXRIS
BibTeX
@misc{lowe2026gravitational,
  title = {{Gravitational Reconstruction in $AdS_4$}},
  author = {David A. Lowe and Yiru Wang and Juanyi Yang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38887},
  eprint = {2610.38887},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38887},
}
RIS
TY  - UNPB
TI  - Gravitational Reconstruction in AdS_4
AU  - David A. Lowe
AU  - Yiru Wang
AU  - Juanyi Yang
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38887
UR  - https://arxiv.org/abs/2610.38887
AB  - We reconstruct linearized gravitational perturbations in AdS_4 from a conserved, traceless stress tensor on a fixed conformally flat boundary metric, extending our earlier real Lorentzian construction. For admissible data with no spacelike Fourier support in a flat conformal frame, the physical response reduces to an integral over boundary light-cone cuts. Boundary improvements restore Fefferman--Graham (FG) gauge while preserving normalizability and the linearized Weyl tensor. We then reconstruct perturbations with general spacelike boundary momentum, including nonzero frequency and its zero-frequency limit, using explicit position-space generalized functions on real stress data. Boundary kernels are constructed for normalizable perturbations and sufficient conditions are derived for the reconstruction to converge. The results motivate controlled flat-space limits relevant to Bondi--Metzner--Sachs symmetries and celestial holography.
ER  -