Hyperbolic energy and Maskit gluings

Piotr T. Chruściel (1) , Erwann Delay (2) , Raphaela Wutte (1)

1 Faculty of Physics [Vienna]
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

We derive a formula for the energy of asymptotically locally hyperbolic (ALH) manifolds obtained by a gluing at infinity of two ALH manifolds. As an application we show that there exist three dimensional conformally compact ALH manifolds without boundary, with connected conformal infinity of higher genus, with constant negative scalar curvature and with negative mass.

Domains: Mathematics [math]; Differential Geometry [math.DG]; Physics [physics]; General Relativity and Quantum Cosmology [gr-qc]; Physics [physics]; High Energy Physics - Theory [hep-th]

Piotr T. Chruściel, Erwann Delay, Raphaela Wutte. Hyperbolic energy and Maskit gluings. 2021. ⟨hal-03462867⟩