Is the Nöther symmetric approach consistent with the dynamical equation in non-minimal scalar-tensor theories?
نویسندگان
چکیده
منابع مشابه
Is Nöther Symmetric Approach Consistent With Dynamical Equation In Non-Minimal Scalar-Tensor Theories?
The form of the coupling of the scalar field with gravity and the potential have been found by applying N öther theorem to 2-dimensional minisuperspaces in induced gravity model. It has been observed that though the forms thus obtained are consistent with all the equations £XL = 0 , yet they do not satisfy the field equations fork = ±1 , in Robertson-Walker model. It has been pointed out that t...
متن کاملQuantum Cosmology in Scalar-tensor Theories with Non Minimal Coupling
Quantization in the minisuperspace of non minimal scalar-tensor theories leads to a partial differential equation which is non separable. Through a conformal transformation we can recast the Wheeler-DeWitt equation in an integrable form, which corresponds to the minimal coupling case, whose general solution is known. Performing the inverse conformal transformation in the solution so found, we c...
متن کاملThe dynamical viability of scalar-tensor gravity theories
We establish the dynamical attractor behavior in scalar-tensor theories of dark energy, providing a powerful framework to analyze classes of theories, predicting common evolutionary characteristics that can be compared against cosmological constraints. In the Jordan frame the theories are viewed as a coupling between a scalar field, Φ, and the Ricci scalar, R, F (Φ)R. The Jordan frame evolution...
متن کاملDynamical analysis for a scalar–tensor model with Gauss–Bonnet and non-minimal couplings
We study the autonomous system for a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two functional forms for the coupling functions and the scalar potential are considered: power-law and exponential functions of the scalar field. ...
متن کاملNon-singular Spherically Symmetric Solution in Einstein-scalar-tensor Gravity
A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential V [φ] is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no essential singularity at the origin of coordinates. The weak energy condition ρφ > 0 fails to be satisfied for r . 1.3rS (where rS is the Schwarzschild radius) but th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2001
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/18/17/324