Field independent cosmic evolution

Abstract

It has been shown earlier that Noether symmetry does not admit a form of F(R) corresponding to an action in which F(R) is coupled to scalar-tensor action for gravity or even for pure F(R) gravity taking anisotropic model into account. Here, we prove that F(R) theory of gravity does not admit Noether symmetry even if it is coupled to Tachyonic field and considering a gauge in addition. To handle such a theory, a general conserved current has been constructed under a condition which decouples higher order curvature part from the field part. This condition in principle, solves for the scale factor, independently. Thus cosmological evolution remains independent of the form of the chosen field, whether it be a scalar or a tachyon.

15 pages. arXiv admin note: substantial text overlap with arXiv:1208.3603

References in corpus (16)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Physical non-equivalence of the Jordan and Einstein frames
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• Noether symmetry in $f(R)$ cosmology
• Solar system constraints on R${}^n$ gravity
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• Gravitational lensing in fourth order gravity
• Tachyonic Quintessential Inflation
• Cosmological Scaling Solutions of Multiple Tachyon Fields with Inverse Square Potentials
• Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
• Revisiting Noether gauge symmetry for F(R) theory of gravity
• Tachyonic open inflationary universes
• Revisiting conserved currents in F(R) theory of gravity via Noether symmetry
• Isotropic universe with almost scale-invariant fourth-order gravity
• Tachyon field inspired dark energy and supernovae constraints

Cited by in corpus (5)

• Noether symmetry in $f(T)$ teleparallel gravity
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
• Reconstructing modified and alternative theories of gravity
• Analyzing Conserved Currents in F(R) theory of gravity
• New conserved tensors and Brans-Dicke type field equation, using integrability condition