Herrera complexity and shadows of spherically symmetric compact objects

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...

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Main Authors: Subhasis Nalui, Subhra Bhattacharya
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325000218
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author Subhasis Nalui
Subhra Bhattacharya
author_facet Subhasis Nalui
Subhra Bhattacharya
author_sort Subhasis Nalui
collection DOAJ
description 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.
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spelling doaj-art-f1103f0abaa94b48a0dacc3adb20c9c92025-02-10T04:33:55ZengElsevierPhysics Letters B0370-26932025-02-01861139261Herrera complexity and shadows of spherically symmetric compact objectsSubhasis Nalui0Subhra Bhattacharya1Department of Mathematics, Presidency University, Kolkata-700073, IndiaCorresponding author.; Department of Mathematics, Presidency University, Kolkata-700073, IndiaIn 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.http://www.sciencedirect.com/science/article/pii/S0370269325000218WormholeEffective potentialPhoton sphere
spellingShingle Subhasis Nalui
Subhra Bhattacharya
Herrera complexity and shadows of spherically symmetric compact objects
Physics Letters B
Wormhole
Effective potential
Photon sphere
title Herrera complexity and shadows of spherically symmetric compact objects
title_full Herrera complexity and shadows of spherically symmetric compact objects
title_fullStr Herrera complexity and shadows of spherically symmetric compact objects
title_full_unstemmed Herrera complexity and shadows of spherically symmetric compact objects
title_short Herrera complexity and shadows of spherically symmetric compact objects
title_sort herrera complexity and shadows of spherically symmetric compact objects
topic Wormhole
Effective potential
Photon sphere
url http://www.sciencedirect.com/science/article/pii/S0370269325000218
work_keys_str_mv AT subhasisnalui herreracomplexityandshadowsofsphericallysymmetriccompactobjects
AT subhrabhattacharya herreracomplexityandshadowsofsphericallysymmetriccompactobjects