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Initial Data Rigidity Results

https://doi.org/10.1007/s00220-021-04033-x

Eichmair, Michael ; Galloway, Gregory J. ; Mendes, Abraão ( August 2021 , Communications in Mathematical Physics)
null (Ed.)
Abstract We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.
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Photon surfaces with equipotential time slices

https://doi.org/10.1063/5.0031280

Cederbaum, Carla ; Galloway, Gregory J. ( March 2021 , Journal of Mathematical Physics)
A Conformal Infinity Approach to Asymptotically $$\text {AdS}_2\times S^{n-1}$$ Spacetimes

https://doi.org/10.1007/s00023-020-00958-6

Galloway, Gregory J. ; Graf, Melanie ; Ling, Eric ( December 2020 , Annales Henri Poincaré)
null (Ed.)
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Some scalar curvature warped product splitting theorems

https://doi.org/10.1090/proc/14922

Galloway, Gregory J. ; Jang, Hyun Chul ( June 2020 , Proceedings of the American Mathematical Society)

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Uniqueness and energy bounds for static AdS metrics

https://doi.org/10.1103/PhysRevD.101.064034

Chruściel, Piotr T. ; Galloway, Gregory J. ; Potaux, Yohan ( March 2020 , Physical Review D)

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Existence of CMC Cauchy surfaces and spacetime splitting

https://doi.org/10.4310/PAMQ.2019.v15.n2.a2

Galloway, Greg ( January 2019 , Pure and Applied Mathematics Quarterly)
null (Ed.)
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Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes

https://doi.org/10.4310/ATMP.2019.v23.n2.a3

Galloway, Gregory J. ; Graf, Melanie ( January 2019 , Advances in Theoretical and Mathematical Physics)

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Rigidity in vacuum under conformal symmetry

https://doi.org/10.1007/s11005-018-1079-7

Galloway, Gregory J. ; Vega, Carlos ( October 2018 , Letters in Mathematical Physics)

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Existence of CMC Cauchy surfaces from a spacetime curvature condition

https://doi.org/10.1007/s10714-018-2428-7

Galloway, Gregory J. ; Ling, Eric ( September 2018 , General Relativity and Gravitation)

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Weakly trapped surfaces in asymptotically de Sitter spacetimes

https://doi.org/10.1088/1361-6382/aac30d

Chruściel, Piotr T ; Galloway, Gregory J ; Ling, Eric ( July 2018 , Classical and Quantum Gravity)

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