Inflation of the early cold Universe filled with a nonlinear scalar field and a nonideal relativistic Fermi gas

2017 ◽  
Vol 124 (3) ◽  
pp. 433-445
Author(s):  
E. A. Pashitskii ◽  
V. I. Pentegov
Keyword(s):  
Scalar Field ◽  
Fermi Gas ◽  
Nonlinear Scalar Field ◽  
Relativistic Fermi

scholarly journals Asymmetric relativistic Fermi gas model for quasielastic lepton-nucleus scattering

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
M. B. Barbaro ◽  
A. De Pace ◽  
T. W. Donnelly ◽  
J. A. Caballero ◽  
G. D. Megias ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Nucleus Scattering ◽  
Relativistic Fermi

scholarly journals Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter

2019 ◽  
Vol 150 (5) ◽  
pp. 2417-2441 ◽  
Author(s):  
Takafumi Akahori ◽  
Slim Ibrahim ◽  
Hiroaki Kikuchi
Keyword(s):  
Scalar Field ◽  
Ground State ◽  
Linear Instability ◽  
Frequency Parameter ◽  
Field Equations ◽  
Power Type ◽  
Nonlinear Scalar Field ◽  
Scalar Field Equations ◽  
Sobolev Critical Exponent ◽  
Large Frequency

AbstractWe consider combined power-type nonlinear scalar field equations with the Sobolev critical exponent. In [3], it was shown that if the frequency parameter is sufficiently small, then the positive ground state is nondegenerate and linearly unstable, together with an application to a study of global dynamics for nonlinear Schrödinger equations. In this paper, we prove the nondegeneracy and linear instability of the ground state frequency for sufficiently large frequency parameters. Moreover, we show that the derivative of the mass of ground state with respect to the frequency is negative.

Phenomenological approach to the viable nonmetric relativistic scalar 4-vector theory of gravitation

1995 ◽  
Vol 73 (3-4) ◽  
pp. 187-192 ◽  
Author(s):  
Alexander A. Vlasov
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Gravitational Radiation ◽  
Phenomenological Approach ◽  
Gravitational Theory ◽  
Nonlinear Scalar Field ◽  
Minkowski Space Time ◽  
Vector Theory ◽  
Theory Of Gravitation ◽  
Relativistic Gravitational Theory

Contrary to the hypothesis that every viable theory of gravitation must be the metric one, this paper presents the example of nonmetric relativistic gravitational theory on the basis of Minkowski space-time, where the gravitation is described by a mixture of the nonlinear scalar field and the linear 4-vector field, compatible with all the known post-Newtonian gravitational tests, with tests on gravitational radiation from binary pulsar PSR 1913 + 16 and with the ordinary cosmological notions.

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