scholarly journals Quantum equivalence of f (R) gravity and scalar–tensor theories in the Jordan and Einstein frames

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Nobuyoshi Ohta
Keyword(s):  
Jordan And Einstein Frames

Phase space correspondence between Jordan and Einstein frames

2021 ◽  
pp. 2150087
Author(s):  
Amin Salehi
Keyword(s):  
Phase Space ◽  
Critical Point ◽  
Critical Points ◽  
Dynamical Behavior ◽  
Cosmological Parameters ◽  
Jordan Frame ◽  
Field Equations ◽  
Theories Of Gravity ◽  
The Stability ◽  
Jordan And Einstein Frames

Scalar–tensor theories of gravity can be formulated in the Einstein frame or in the Jordan frame (JF) which are related with each other by conformal transformations. Although the two frames describe the same physics and are equivalent, the stability of the field equations in the two frames is not the same. Here, we implement dynamical system and phase space approach as a robustness tool to investigate this issue. We concentrate on the Brans–Dicke theory in a Friedmann–Lemaitre–Robertson–Walker universe, but the results can easily be generalized. Our analysis shows that while there is a one-to-one correspondence between critical points in two frames and each critical point in one frame is mapped to its corresponds in another frame, however, stability of a critical point in one frame does not guarantee the stability in another frame. Hence, an unstable point in one frame may be mapped to a stable point in another frame. All trajectories between two critical points in phase space in one frame are different from their corresponding in other ones. This indicates that the dynamical behavior of variables and cosmological parameters is different in two frames. Hence, for those features of the study, which focus on observational measurements, we must use the JF where experimental data have their usual interpretation.

scholarly journals Physical non-equivalence of the Jordan and Einstein frames

2010 ◽  
Vol 689 (4-5) ◽  
pp. 117-121 ◽  
Author(s):  
S. Capozziello ◽  
P. Martin-Moruno ◽  
C. Rubano
Keyword(s):  
Jordan And Einstein Frames

scholarly journals Inverse-chirp imprint of gravitational wave signals in scalar tensor theory

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Chao-Qiang Geng ◽  
Hao-Jui Kuan ◽  
Ling-Wei Luo
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Parameter Space ◽  
Coupling Function ◽  
Transformation Rule ◽  
Core Collapse ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Jordan And Einstein Frames

Abstract The scalar tensor theory contains a coupling function connecting the quantities in the Jordan and Einstein frames, which is constrained to guarantee a transformation rule between frames. We simulate the supernovae core collapse with different choices of coupling functions defined over the viable region of the parameter space and find that a generic inverse-chirp feature of the gravitational waves in the scalar tensor scenario.

scholarly journals Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Alexander Yu. Kamenshchik ◽  
Ekaterina O. Pozdeeva ◽  
Sergey Yu. Vernov ◽  
Alessandro Tronconi ◽  
Giovanni Venturi
Keyword(s):  
Jordan And Einstein Frames

scholarly journals Black hole stability in Jordan and Einstein frames

2014 ◽  
Vol 89 (10) ◽  
Author(s):  
Yun Soo Myung ◽  
Taeyoon Moon
Keyword(s):  
Black Hole ◽  
Jordan And Einstein Frames
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