Dynamical Horizon Segments and Spacetime Isometries

2025/06/11 by Ashtekar, Abhay, Krishnan, Badri
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2506.10190

Abstract

Given a space-time (\mathscrM, g_ab) admitting a dynamical horizon segment (DHS) \mathscrH, we show that there are stringent constraints on the Killing fields ξ^a that g_ab can admit in a neighborhood of \mathscrH: Generically, ξ^a can only be a rotational Killing field which, furthermore, leaves each marginally trapped 2-sphere cross-section S of \mathscrH invariant. Finally, if ξ^a happens to be hypersurface orthogonal near \mathscrH, then, not only the angular momentum but also all spin multipoles vanish on every S; the entire spin structure of these DHSs is indistinguishable from that of spherically symmetric DHSs!

Citations

• Quasi-Local Black Hole Horizons: Recent Advances
• Black Holes Inside and Out 2024: visions for the future of black hole physics
• Extremal black hole formation as a critical phenomenon
• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• Black hole evaporation: a paradigm
• Do Black Holes Exist?

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