4.7 Article

Uniqueness of static spacetime with conformal scalar in higher dimensions

Journal

PHYSICAL REVIEW D
Volume 104, Issue 10, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.104.104025

Keywords

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Funding

  1. Ministry of Education, Science, Sports and Culture of Japan [JP17H01091, JP21H05182, JP21H05189]
  2. JSPS [JP21K03551]

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In this paper, we discuss the uniqueness of asymptotically flat and static spacetimes in the n-dimensional Einstein-conformal scalar system, pointing out a potential singularity in the field equations and the corresponding uniqueness result outside a certain surface associated with the singular point.
We discuss the uniqueness of asymptotically flat and static spacetimes in the n-dimensional Einstein-conformal scalar system. This theory potentially has a singular point in the field equations where the effective Newton constant diverges. We will show that the static spacetime with the conformal scalar field outside a certain surface S-p associated with the singular point is unique.

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