Noncommutative Kazakov-Solodukhin Gravastar
Abstract
We construct a thin-shell gravastar with a de Sitter interior and a phenomenological exterior combining a Lorentzian noncommutative-inspired mass distribution with the unexpanded Kazakov--Solodukhin deformation. Within an effective Einstein description, we derive the surface stresses, evaluate the shell energy conditions, and compute transparent-shell geodesics using a single exterior metric. The associated horizon-bearing family satisfies a radial-pressure thermodynamic identity with area entropy. For the gravastar, the first three penetrating visibility boundaries move inward with increasing KS scale, while the exterior photon orbit and critical impact parameter move outward. A finite-observer backlighting calculation reproduces the Schwarzschild--de Sitter benchmark and tracks the merger of visibility boundaries as the shell moves beyond the photon orbit. We also compute the redshift-weighted intensity of a face-on, optically thin emitting layer. Additional disk crossings after core transmission produce inner image structure whose brightness depends on the radial emission profile. At leading inverse-radius order, both deformation scales enter through one coefficient, producing an exact geometric parameter degeneracy. We show that the next inverse-radius term breaks this degeneracy: the critical impact parameter and logarithmic strong-deflection coefficient provide independent local information about the two scales. Full-metric calculations for equal-leading-coefficient parameter pairs resolve this splitting and quantify the accuracy of the higher-order expansion.
Related
BibTeX
@misc{silva2026noncommutative,
title = {{Noncommutative Kazakov-Solodukhin Gravastar}},
author = {A. T. N. Silva and M. A. Anacleto and Ali Övgün and L. Casarini},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07183},
eprint = {2611.07183},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07183},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Noncommutative Kazakov-Solodukhin Gravastar
AU - A. T. N. Silva
AU - M. A. Anacleto
AU - Ali Övgün
AU - L. Casarini
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07183
UR - https://arxiv.org/abs/2611.07183
AB - We construct a thin-shell gravastar with a de Sitter interior and a phenomenological exterior combining a Lorentzian noncommutative-inspired mass distribution with the unexpanded Kazakov--Solodukhin deformation. Within an effective Einstein description, we derive the surface stresses, evaluate the shell energy conditions, and compute transparent-shell geodesics using a single exterior metric. The associated horizon-bearing family satisfies a radial-pressure thermodynamic identity with area entropy. For the gravastar, the first three penetrating visibility boundaries move inward with increasing KS scale, while the exterior photon orbit and critical impact parameter move outward. A finite-observer backlighting calculation reproduces the Schwarzschild--de Sitter benchmark and tracks the merger of visibility boundaries as the shell moves beyond the photon orbit. We also compute the redshift-weighted intensity of a face-on, optically thin emitting layer. Additional disk crossings after core transmission produce inner image structure whose brightness depends on the radial emission profile. At leading inverse-radius order, both deformation scales enter through one coefficient, producing an exact geometric parameter degeneracy. We show that the next inverse-radius term breaks this degeneracy: the critical impact parameter and logarithmic strong-deflection coefficient provide independent local information about the two scales. Full-metric calculations for equal-leading-coefficient parameter pairs resolve this splitting and quantify the accuracy of the higher-order expansion.
ER -