Extremal black hole initial data deformations

Abstract

We study deformations of axially symmetric initial data for Einstein-Maxwell equations satisfying the time-rotation ($t$-$\varphi$) symmetry and containing one asymptotically cylindrical end and one asymptotically flat end. We find that the $t$-$\varphi$ symmetry implies the existence of a family of deformed data having the same horizon structure. This result allows us to measure how close solutions to Lichnerowicz equation are when arising from nearby free data.

21 pages, no figures, final version

References in corpus (8)

• Geometry and Regularity of Moving Punctures
• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Trumpet-puncture initial data for black holes
• Convexity of reduced energy and mass angular momentum inequalities
• Trumpet Slices in Kerr Spacetimes
• Existence and uniqueness of Bowen-York Trumpets
• Solving the Hamiltonian constraint for 1+log trumpets
• Equilibrium initial data for moving puncture simulations: The stationary 1+log slicing