Effective potential for gravity in flat space-time

1983 ◽  
Vol 37 (5) ◽  
pp. 165-168
Author(s):  
Ph. Droz-Vincent
Keyword(s):  
Effective Potential ◽  
Flat Space ◽  
Space Time

Sine-Gordon model in (1 + 1)-dimensional curved space: Schrödinger picture approach

1996 ◽  
Vol 74 (9-10) ◽  
pp. 626-633
Author(s):  
Anjana Sinha ◽  
Rajkumar Roychoudhury
Keyword(s):  
Effective Potential ◽  
Flat Space ◽  
Space Time ◽  
Curved Space ◽  
Curvature Term ◽  
Sine Gordon Model ◽  
Schrödinger Picture

The effective potential for the sine-Gordon model in a curved space-time, given by [Formula: see text], has been calculated using the Schrödinger picture formalism. It has been shown that when α(x) → 1 our method reproduces the flat-space results. To show the effect of the curvature term, the effective potential Veff has been calculated numerically for several values of the parameter M, where α(x) has been taken to be of the form [Formula: see text].

scholarly journals A new model of arcsin-gravity

2015 ◽  
Vol 12 (07) ◽  
pp. 1550077 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Constant Curvature ◽  
Critical Points ◽  
Effective Potential ◽  
Flat Space ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
New Model ◽  
Slow Roll ◽  
Jordan And Einstein Frames

The new model of modified F(R)-gravity theory with the function F(R) = R + (a/γ) arcsin (γR) is suggested and investigated. Constant curvature solutions corresponding to the extremum of the effective potential are obtained. We consider both the Jordan and Einstein frames, and the potential and the mass of the scalar degree of freedom are found. It was shown that the de Sitter space-time is unstable but the flat space-time is stable. We calculate the slow-roll parameters ϵ, η, and the e-fold number of the model. Critical points of autonomous equations for the de Sitter phase and the matter dominated epoch are obtained and learned.

scholarly journals Flat Space-Time and Gravitation

1944 ◽  
Vol 30 (10) ◽  
pp. 324-334 ◽  
Author(s):  
G. D. Birkhoff
Keyword(s):  
Flat Space ◽  
Space Time

scholarly journals Evolution of a domain wall in expanding universe: inflation and after it

2018 ◽  
Vol 191 ◽  
pp. 08004
Author(s):  
A.D. Dolgov ◽  
S.I. Godunov ◽  
A.S. Rudenko
Keyword(s):  
Domain Wall ◽  
Hubble Parameter ◽  
Domain Walls ◽  
Flat Space ◽  
Space Time ◽  
Time Dependent ◽  
Expanding Universe ◽  
Large Size ◽  
Dependent Parameter ◽  
Thick Domain Walls

We study the evolution of thick domain walls in the expanding universe. We have found that the domain wall evolution crucially depends on the time-dependent parameter C(t) = 1/(H(t)δ0)2, where H(t) is the Hubble parameter and δ0 is the width of the wall in flat space-time. For C(t) > 2 the physical width of the wall, a(t)δ(t), tends with time to constant value δ0, which is microscopically small. Otherwise, when C(t) ≤ 2, the wall steadily expands and can grow up to a cosmologically large size.

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