Study of gravitational radiation at 𝒥 for the general type-D Einstein-Maxwell solution with cosmological constant
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 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} $.
Versions
Related
- Peeling property for the Einstein scalar field equations with the nonzero cosmological constant
- Ultraviolet Cascades, Norm Inflation, and the Rendall Instability for the Einstein-Euler System with Positive Cosmological Constant
- Analytical solution of traversable wormholes in the presence of positive cosmological constant
- Gravitational wave radiation from periodic orbits around a black hole in Einstein-Maxwell-scalar theory
- Electric Penrose process in spherically symmetric regular black holes with and without a cosmological constant
BibTeX
@misc{fernandezalvarez2026study,
title = {{Study of gravitational radiation at $\mathscrJ$ for the general type-D Einstein-Maxwell solution with cosmological constant}},
author = {Francisco Fernández-Álvarez and José M. M. Senovilla},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.15280},
eprint = {2608.15280},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.15280},
}
RIS
TY - UNPB
TI - Study of gravitational radiation at 𝒥 for the general type-D Einstein-Maxwell solution with cosmological constant
AU - Francisco Fernández-Álvarez
AU - José M. M. Senovilla
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2608.15280
UR - https://arxiv.org/abs/2608.15280
AB - 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 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} $.
ER -