The 2m <= r property of spherically symmetric static spacetimes
Marc Mars, M. M. Martin-Prats, Jose M. M. Senovilla
Abstract
We prove that all spherically symmetric static spacetimes which are both regular at r=0 and satisfying the single energy condition rho + pr + pt >= 0 cannot contain any black hole region (equivalently, they must satisfy 2m/r <= 1 everywhere). This result holds even when the spacetime is allowed to contain a finite number of matching hypersurfaces. This theorem generalizes a result by Baumgarte and Rendall when the matter contents of the space-time is a perfect fluid and also complements their results in the general non-isotropic case.
Create a lesson
Related papers
Testing compact binary nature in eccentric orbits with third-generation detectors
Syed U. Naqvi, Kaushik Paul, Chandra Kant Mishra
Turning Selection Bias into a New Statistic: Asymmetry and Fringes of Lensed Gravitational Waves
Juno C. L. Chan, Elwin K. Y. Li
Exact two-loop gravitational tail integrals and their ultraviolet-infrared structure
Gabriel Luz Almeida
Noncommutative BTZ Gravastar in Gauss-Bonnet Gravity
M. A. Anacleto, A. T. N. Silva, L. Casarini et al.
Mini-Superspace Hamiltonian Dynamics and Canonical Quantization of Bumblebee Cosmology
Pranjal Sarmah
Dynamical stability and observational constraints on a late-time dark-matter particle-creation model
Anirban Chatterjee