Hamiltonian structure of gravitational field theory

1992 ◽  
Vol 31 (2) ◽  
pp. 269-275 ◽  
Author(s):  
Jerzy Rayski
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Hamiltonian Structure

Newtonian gravitational field theory

1970 ◽  
Vol 3 (4) ◽  
pp. 315-330 ◽  
Author(s):  
Solomon L. Schwebel
Keyword(s):  
Field Theory ◽  
Gravitational Field

scholarly journals NEUTRINO COUPLING TO COSMOLOGICAL BACKGROUND: A REVIEW ON GRAVITATIONAL BARYO/LEPTOGENESIS

2013 ◽  
Vol 22 (12) ◽  
pp. 1330030 ◽  
Author(s):  
GAETANO LAMBIASE ◽  
SUBHENDRA MOHANTY ◽  
ARAGAM R. PRASANNA
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Thermal Equilibrium ◽  
Energy Levels ◽  
Lepton Number ◽  
Cpt Symmetry ◽  
Cosmological Background ◽  
The Universe ◽  
General Conditions ◽  
Lepton Number Violating

In this paper, we review the theories of origin of matter–antimatter asymmetry in the universe. The general conditions for achieving baryogenesis and leptogenesis in a CPT conserving field theory have been laid down by Sakharov. In this review, we discuss scenarios where a background scalar or gravitational field spontaneously breaks the CPT symmetry and splits the energy levels between particles and antiparticles. Baryon or Lepton number violating processes in proceeding at thermal equilibrium in such backgrounds gives rise to Baryon or Lepton number asymmetry.

THE GRAVITOKINETIC FIELD AND THE ORBIT OF MERCURY

1966 ◽  
Vol 44 (5) ◽  
pp. 1147-1156 ◽  
Author(s):  
J. C. W. Scott
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Gravitational Field ◽  
Electromagnetic Force ◽  
Total Mass ◽  
Gravitational Force ◽  
Space Time ◽  
Red Shift ◽  
Null Results ◽  
Magnetic Components

A new Lorentz-invariant gravitational field theory is introduced according to which space–time is always flat. The gravitational field is of Maxwellian form with potential and kinetic components analogous to the electric and magnetic components of the electromagnetic field. New mathematical entities named scaled tensors are developed. While the electromagnetic force is represented by an unsealed tensor, the gravitational force is properly described by a scaled tensor. The precession of the orbit of the planet Mercury establishes the scale of the gravitational force as −5. Since the force on a body is found to be proportional to its total mass, the null results of Eötvös and Dicke are confirmed. However, the theory requires that the force depend on velocity so that new very small effects analogous to electromagnetic phenomena are predicted. In a following paper, "Photons in the Gravitational Field", the gravitational red shift and the gravitational deflection of a light ray are deduced correctly.

A derivation of Shape Dynamics

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Gravitational Field ◽  
The Other ◽  
Speed Of Light ◽  
Symmetry Principle ◽  
Shape Dynamics ◽  
Diffeomorphism Invariance ◽  
The One

By applying the principles of relational field theory to the gravitational field, and using 3D diffeomorphism invariance as our symmetry principle for best matching, it is feasible to reduce the working possibilities to just a few cases. One is a field-theory version of (GR), which is the limit of General Relativity in which the speed of light goes to infinity and the light cones open up to provide a notion of absolute simultaneity. Another is the opposite limit, dubbed ‘Carrollian Relativity’ by Levy–Leblond, in which the speed of light goes to zero and each point is causally isolated from the other. This limit is related to the so-called ‘BKL’ behaviour that appears to be universal near singularities. The penultimate possibility is (GR), while the last one is SD, which emerges as the unique generalization of the theory that allows for an arbitrary value of the one free coefficient in the supermetric.

scholarly journals Gravitational Field in the Unified Spinor Field Theory

1972 ◽  
Vol 48 (2) ◽  
pp. 662-677 ◽  
Author(s):  
Yasuhisa Katayama ◽  
Hiroshi Kokubo
Keyword(s):  
Field Theory ◽  
Gravitational Field ◽  
Spinor Field

Field theory with higher derivatives-Hamiltonian structure

1969 ◽  
Vol 2 (3) ◽  
pp. 304-310 ◽  
Author(s):  
L M C Coelho de Souza ◽  
P R Rodrigues
Keyword(s):  
Field Theory ◽  
Hamiltonian Structure ◽  
Higher Derivatives

The quantum gravitational field theory and the domains of its fix points for inflationary or low-redshift universe

2015 ◽  
Vol 30 (28n29) ◽  
pp. 1545003 ◽  
Author(s):  
She-Sheng Xue
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Gravitational Field ◽  
Correlation Length ◽  
Quantitative Description ◽  
Invariant Region ◽  
Cosmological Observations ◽  
Type Ia ◽  
Supernova Type Ia ◽  
Scaling Invariant

We study a quantum field theory for the Einstein–Cartan gravity and the domain of its ultraviolet unstable (stable) fixed point [Formula: see text] [Formula: see text] of running gravitational constant [Formula: see text], where inflationary (low-redshift) universe can be realized as the basic space-time cutoff [Formula: see text] approaching to the Planck length [Formula: see text]. Because the fundamental operators of quantum gravitational field theory are dimension-2 area operators, the cosmological constant is inversely proportional to the squared correlation length [Formula: see text]. The correlation length [Formula: see text] characterizes an infrared size of a causally correlate patch of the universe. The quantitative description of low-redshift universe in the scaling-invariant region of fixed point [Formula: see text] is given, and its deviation from the [Formula: see text]CDM can be examined by recent cosmological observations, such as supernova Type Ia.

scholarly journals GALILEAN COVARIANCE AND THE GRAVITATIONAL FIELD

2009 ◽  
Vol 24 (28n29) ◽  
pp. 5287-5297 ◽  
Author(s):  
SÉRGIO C. ULHOA ◽  
FAQIR C. KHANNA ◽  
ADEMIR E. SANTANA
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Gravitational Field ◽  
Relativistic Theory ◽  
Galilei Group ◽  
Newtonian Approximation ◽  
Covariant Version ◽  
Galilean Covariance

This paper is concerned with the development of a gravitational field theory having locally a covariant version of the Galilei group. We show that this Galilean gravity can be used to study the advance of perihelion of a planet, following in parallel with the result of the (relativistic) theory of general relativity in the post-Newtonian approximation.

INTEGRABLE HIERARCHIES FROM BRST COHOMOLOGY

2005 ◽  
Vol 20 (01) ◽  
pp. 51-59
Author(s):  
V. CALIAN ◽  
G. STOENESCU
Keyword(s):  
Field Theory ◽  
Hamiltonian System ◽  
Hamiltonian Structure ◽  
Integrable Hierarchies ◽  
Evolution Equations ◽  
Classical Field Theory ◽  
Classical Field ◽  
Integrable Hierarchy ◽  
Brst Cohomology ◽  
Gauge Fixing

We demonstrate that the Hamiltonian structure and the integrability of a system of evolution equations can be formulated in terms of a classical field theory using BRST and anti-BRST symmetries. We derive the field theory action and explicitly generate the integrable hierarchy associated to a bi-Hamiltonian system based on cohomological arguments and gauge-fixing deformations.

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