Work

Study of gravitational radiation at 𝒥 for the general type-D Einstein-Maxwell solution with a cosmological constant

Year: 2026

Type: article

Abstract: We characterize the gravitational radiation present in the general Plebański-Demiański type~D solution with cosmological constant $Λ$ of any sign. We show that radiation escapes towards infinity if and only if the acceleration parameter is non-zero. We calculate the Cotton-York tensor and the boundary stress-energy tensor at infinity for negative $Λ$, and for positive $Λ$ the $D$ tensor that complements initial or final data at $\mathscr{J}$. In addition, we recast a recent parametrization of this family of metrics into a new form by a simple homothety, correctly identifying $Λ$, and study the existence and regularity of the possible axes of symmetry, searching for a relation between deficit angles and radiation. We also identify the branch of general non-radiating solutions with non-vanishing Cotton-York tensor at $ \mathscr{J} $.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/tgpk-ktgr

Authors: Francisco Fernández-Álvarez, José M. M. Senovilla

Institution: University of the Basque Country

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación

Awards: G6806626197, G7434936867