New analytic solutions in \(f(R)\)-cosmology from Painlevé analysis
DOI10.1002/MMA.9921zbMATH Open1547.83018MaRDI QIDQ6559989
Andronikos Paliathanasis, Genly Leon, P. G. L. Leach
Publication date: 21 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Relativistic cosmology (83F05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)
Cites Work
- Title not available (Why is that?)
- The general solution of Bianchi type VII\(_h\) vacuum cosmology
- Geometrical theorems on Einstein's cosmological equations.
- Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme.
- Mémoire sur les équations différentielles dont l'intégrale générale est uniforme.
- On the problem of the rotation of a solid body about a fixed axis.
- Symmetries of homogeneous cosmologies
- The Painlevé property. One century later
- Symmetry, singularities and integrability in complex dynamics. IV: Painlevé integrability of isotropic cosmologies
- Asymptotic vacua with higher derivatives
- On the Hojman conservation quantities in cosmology
- The initial state of generalized radiation universes
- Analytical solutions in \(R+qR^n\) cosmology from singularity analysis
- A new type of isotropic cosmological models without singularity
- Time-dependent automorphism inducing diffeomorphisms in vacuum Bianchi cosmologies and the complete closed form solutions for types II and V
- Noether and Lie symmetries for charged perfect fluids
- <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
- Noether symmetric classical and quantum scalar field cosmology
- POWER-LAWS f(R) THEORIES ARE COSMOLOGICALLY UNACCEPTABLE
- THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
- Painlevé singularity analysis of the perfect fluid Bianchi type-IX relativistic cosmological model
- Painleve analysis for the mixmaster universe model
- CURVATURE QUINTESSENCE
- Painleve analysis of the mixmaster universe
- Non-integrability of the mixmaster universe
- Lie point and variational symmetries in minisuperspace Einstein gravity
- Sur les équations différentielles du second ordre à points critiques fixes.
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