Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
arXiv:2501.14282 · doi:10.1016/j.physletb.2025.139261
Abstract
In this work we investigate the effect of complexity factor on the formation of photon spheres for spherically symmetric compact objects. The complexity factor obtained from the orthogonal splitting of the Riemann curvature tensor connects the geometric attributes of a compact spherically symmetric gravitating object with its matter inhomogeneity and pressure anisotropy via a scalar term. The novelty of the complexity factor is the inherent simple definition that identifies the evolution of matter tensors inside a given region of space-time. Such identification helps to obtain an equivalence class of gravitating compact objects based on their degree of complexity with zero complexity identified as the simplest system. On the other hand shadows and photon rings have become essential for identifying compact regions of space time characterised by massive gravity. Advanced observational data analysis tools augments the hope for identification of exotic gravitational objects, like the so called ``black hole mimickers" and may serve as testing ground for other gravity theories. In this context we explore how complexity of compact objects (a fundamentally theoretical classification) is connected to the photon ring (an astrophysical observable in the universe) and its stability. We consider zero complexity systems and discuss its significance with respect to (wrt) formation of photon rings and hence shadows.
References in corpus (17)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- How to tell a gravastar from a black hole
- Wormholes as Black Hole Foils
- Can we distinguish between black holes and wormholes by their Einstein-ring systems?
- Gravastars supported by nonlinear electrodynamics
- Can accretion disk properties distinguish gravastars from black holes?
- Gravastar Shadows
- A novel gravitational lensing feature by wormholes
- Complexity factors for axially symmetric static sources
- Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
- Shadow of a Naked Singularity without Photon Sphere
- Gravastar energy conditions revisited
- Gravitational cracking and complexity in the framework of gravitational decoupling
- Complexity of the Bondi metric
- Strong gravitational lensing by a strongly naked null singularity
- Complexity factor Parametrization for Traversable Wormholes