Year: 2024
Type: article
Abstract: Without specifying a matter field nor imposing energy conditions, we study Killing horizons in n ( ⩾ 3 ) -dimensional static solutions in general relativity with an ( n − 2 ) -dimensional Einstein base manifold. Assuming linear relations p r ≃ χ r ρ and p 2 ≃ χ t ρ near a Killing horizon between the energy density ρ, radial pressure p r , and tangential pressure p 2 of the matter field, we prove that any non-vacuum solution satisfying χ r < − 1 / 3 ( χ r ≠ − 1 ) or χ r > 0 does not admit a horizon as it becomes a curvature singularity. For χ r = − 1 and χ r ∈ [ − 1 / 3 , 0 ) , non-vacuum solutions admit Killing horizons, on which there exists a matter field only for χ r = − 1
Source: Classical and Quantum Gravity
Authors: Hideki Maeda, Cristián Martínez
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404032848