Classifying and avoiding singularities in the alternative gravity dark energy models

2009/03/31 by Salvatore Capozzıello, S. Capozziello, Mariafelicia De Laurentis +5 · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.79.124007

published as Phys.Rev.D79:124007,2009 · 21 pages, 12 figures, published version in PRD

openalex publication_date 2009/06/08 · arxiv created 2009/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The future finite-time singularities emerging in alternative gravity dark energy models are classified and studied in Jordan and Einstein frames. It is shown that such singularity may occur even in flat spacetime for the specific choice of the effective potential. The conditions for the avoidance of finite-time singularities are presented and discussed. The problem is reduced to the study of a scalar field evolving on an effective potential by using the conformal transformations. Some viable modified gravity models are analyzed in detail and the way to cure singularity is considered by introducing the higher order curvature corrections. These results may be relevant for the resolution of the conjectured problem in the relativistic star formation in such modified gravity where finite-time singularity is also manifested.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark matter?
• Cosmological Constant - the Weight of the Vacuum
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Beyond the perfect fluid hypothesis for the dark energy equation of state
• Constrainingf(R)gravity as a scalar-tensor theory
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Stability of modified gravity models
• Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Gravitational waves and lensing of the metric theory proposed by Sobouti
• Can higher curvature corrections cure the singularity problem inf(R)gravity?
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Solar system testsdorule out1/Rgravity
• Dynamics of dark energy
• Is cosmic speed-up due to new gravitational physics?
• Cosmological consequences of a rolling homogeneous scalar field
• Observational bounds on modified gravity models
• ON THE GENERALIZED CHAPLYGIN GAS: WORSE THAN A BIG RIP OR QUIETER THAN A SUDDEN SINGULARITY?
• Dynamics of linear perturbations inf(R)gravity
• Density perturbations inf(R)gravity theories in metric and Palatini formalisms
• Curvature Quintessence

Cited by

• On the ΛCDM Universe in f(G) gravity
• Unifying inflation with dark energy in modified F(R) Hořava–Lifshitz gravity