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19972026
most citedStrongly hyperbolic second order Einstein's evolution equations

92 citations · 176 across the 13 of their papers we have counts for

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9 papers · 1 filter

gr-qc2026

Periodic Analogs of Multiple Black Holes Solutions

Omar E. Ortiz, Javier Peraza

In this article, we extend the numerical studies developed in [arXiv:2210.12898] to construct periodic stationary axisymmetric solutions containing multiple horizons in each fundam…

gr-qc2022★ 4 cited

Periodic analogues of the Kerr solutions: a numerical study

Javier Peraza, Martín Reiris, Omar E. Ortiz

In recent years black hole configurations with non standard topology or with non-standard asymptotic have gained considerable attention. In this article we carry out numerical inve…

gr-qc2016★ 8 cited

Size, angular momentum and mass for objects

Pablo Anglada, M. E. Gabach-Clement, Omar E. Ortiz

We obtain a geometrical inequality involving the ADM mass, the angular momentum and the size of an ordinary, axially symmetric object. We use the monotonicity of the Geroch quasi-l…

gr-qc2015★ 6 cited

The inequality between size and charge in spherical symmetry

Pablo Anglada, Sergio Dain, Omar E. Ortiz

We prove that for a spherically symmetric charged body two times the radius is always strictly greater than the charge of the body. We also prove that this inequality is sharp. Fin…

gr-qc2009★ 10 cited

On well-posedness, linear perturbations and mass conservation for axisymmetric Einstein equation

Sergio Dain, Omar E. Ortiz

For axially symmetric solutions of Einstein equations there exists a gauge which has the remarkable property that the total mass can be written as a conserved, positive definite, i…

gr-qc2009★ 20 cited

Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes

Sergio Dain, Omar Ortiz

We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (non-stationary) black holes.…