Nonstaticity with type II, III, or IV matter field in \(f(R_{\mu\nu\rho\sigma},g^{\mu\nu})\) gravity

DOI10.1007/S10714-021-02862-8zbMath1483.83088arXiv2001.11335OpenAlexW3206818208MaRDI QIDQ2059766

Hideki Maeda

Publication date: 14 December 2021

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11335

zbMATH Keywords

Hawking-Ellis classification

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Kaluza-Klein and other higher-dimensional theories (83E15) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Local Riemannian geometry (53B20)

Related Items (1)

Criteria for energy conditions

Cites Work

• \(f(R)\) theories
• Segre types of symmetric two-tensors in \(n\)-dimensional spacetimes
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
• All solutions of Einstein’s equations in 2+1 dimensions: Λ-vacuum, pure radiation, or gyratons
• Exact Solutions of Einstein's Field Equations
• Classification of scalar fields in general relativity
• Energy conditions in arbitrary dimensions
• The type III stress-energy tensor: ugly duckling of the Hawking–Ellis classification
• Hamiltonian Formulation of f (Riemann) Theories of Gravity
• The Einstein Tensor and Its Generalizations
• The Large Scale Structure of Space-Time

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