2004/03/01 by Edgard Gunzig, E. Gunzig, Alberto Saa
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #gr-qc
paper · pdf · doi:10.1023/b:ijtp.0000048165.51958.9a
published as Int.J.Theor.Phys. 43 (2004) 575-583 · 12 pages, to appear in the proceedings of Peyresq 8
openalex publication_date 2004/03/01 · arxiv created 2004/06/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the inclusion of a term CabcdCabcd in the action can remove the recently described anisotropic singularity occurring on the hypersurface F(ϕ)=0 of scalar-tensor theories of gravity of the type S=∫ d4x √(-g) F(ϕ)R - ∂aϕ∂aϕ-2V(ϕ), preserving, by construction, all of their isotropic solutions. We show that, in principle, a higher order term of this type can arise from considerations about the renormalizability of the semiclassical approach to the theory. Such result brings again into consideration the quintessential models recently proposed based in a conformally coupled scalar field (F(ϕ)=1-1/6ϕ2) with potential V(ϕ)=(m)/(2)ϕ2 -\fracΩ4ϕ4, that have been discharged as unrealistic precisely by their anisotropic instabilities on the hypersurface F(ϕ)=0.