Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 41 min ago
PreprintCC BY 4.0arXiv

Solutions for neutron stars in General Relativity from a complexity structure scalar boundary condition

Abstract

A new condition involving the complexity factor, a structure scalar arising from the orthogonal splitting of the Riemann tensor, is generated at the boundary of a spherically symmetric anisotropic fluid. This condition leads to the generation of a model, without invoking any further constraints on geometry or matter variables. The model generated is physically reasonable and suggests that there is a non-zero, positive minimum constraint on the complexity scalar value evaluated at the surface. This suggests that vanishing complexity is a globalized constraint which does not apply at the boundary, specifically for compact objects in the strong-gravity regime.

Related

  1. Classification of solutions to the Liouville equation with a nonlinear Neumann boundary condition and applications to sharp inequalities
    Xiaohan Cai, Abdolhakim Shouman
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  2. Classification of solutions to the Liouville equation with a nonlinear Robin boundary condition on the unit disk
    Jingbo Dou, Yunyun Hu, Keqing Peng
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  3. A sufficient condition for the existence of solutions of singular linear-quadratic vector equations
    Rishikesh Yadav, Axel Flinth
    arXivPreprintCC BY-SA 4.0Full textNumerical analysis & scientific computingarXiv
  4. On the gauge invariant boundary condition in open XXZ chains: SoV bases, elementary blocks and overlaps
    G Niccoli, Véronique Terras
    HALPreprintLicence not statedMathematical physicsHigh-energy & particle physicsHAL
  5. Linear Stability and a Turning Point Principle for Barotropic Liquid Stars with a Free Boundary in General Relativity
    Zeming Hao, Jianchao Xu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsGravitation & general relativityarXiv
BibTeX
@misc{bogadi2026solutions,
  title = {{Solutions for neutron stars in General Relativity from a complexity structure scalar boundary condition}},
  author = {Robert S. Bogadi and Megandhren Govender and Genly Leon and Andronikos Paliathanasis},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03393},
  eprint = {2609.03393},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03393},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Solutions for neutron stars in General Relativity from a complexity structure scalar boundary condition
AU  - Robert S. Bogadi
AU  - Megandhren Govender
AU  - Genly Leon
AU  - Andronikos Paliathanasis
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.03393
UR  - https://arxiv.org/abs/2609.03393
AB  - A new condition involving the complexity factor, a structure scalar arising from the orthogonal splitting of the Riemann tensor, is generated at the boundary of a spherically symmetric anisotropic fluid. This condition leads to the generation of a model, without invoking any further constraints on geometry or matter variables. The model generated is physically reasonable and suggests that there is a non-zero, positive minimum constraint on the complexity scalar value evaluated at the surface. This suggests that vanishing complexity is a globalized constraint which does not apply at the boundary, specifically for compact objects in the strong-gravity regime.
ER  -