scholarly journals NOTE ABOUT HAMILTONIAN FORMALISM FOR GENERAL NONLINEAR MASSIVE GRAVITY ACTION IN STÜCKELBERG FORMALISM

2013 ◽  
Vol 28 (30) ◽  
pp. 1350160 ◽  
Author(s):  
JOSEF KLUSOŇ
Keyword(s):  
Time Evolution ◽  
Explicit Form ◽  
Hamiltonian Formalism ◽  
Complex Form ◽  
Massive Gravity ◽  
Complete Analysis ◽  
Constraint Structure ◽  
The Stability ◽  
Nonlinear Gravity ◽  
Hamiltonian Analysis

In this paper, we try to prove the absence of the ghosts in case of the general nonlinear massive gravity action in Stückelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the general nonlinear massive gravity action [S. F. Hassan and R. A. Rosen, Phys. Rev. Lett. 108, 041101 (2012), arXiv:1106.3344 [hep-th]]. We perform the complete Hamiltonian analysis of the Stückelberg form of the minimal the nonlinear gravity action in this formulation and show that the constraint structure is so rich that it is possible to eliminate nonphysical modes. Then, we extend this analysis to the case of the general nonlinear massive gravity action. We find the corresponding Hamiltonian and collection of the primary constraints. Unfortunately we are not able to finish the complete analysis of the stability of all constraints due to the complex form of one primary constraint so that we are not able to determine the conditions under which given constraint is preserved during the time evolution of the system.

scholarly journals HAMILTONIAN ANALYSIS OF POINCARÉ GAUGE THEORY SCALAR MODES

1999 ◽  
Vol 08 (04) ◽  
pp. 459-479 ◽  
Author(s):  
HWEI-JANG YO ◽  
JAMES M. NESTER
Keyword(s):  
Gauge Theory ◽  
Explicit Form ◽  
Lagrange Multipliers ◽  
Complete Analysis ◽  
Simple Type ◽  
Hamiltonian Constraint ◽  
Massive Spin ◽  
Parameter Values ◽  
Gauge Theory Of Gravity ◽  
Hamiltonian Analysis

The Hamiltonian constraint formalism is used to obtain the first explicit complete analysis of nontrivial viable dynamic modes for the Poincaré gauge theory of gravity. Two modes with propagating spin-zero torsion are analyzed. The explicit form of the Hamiltonian is presented. All constraints are obtained and classified. The Lagrange multipliers are derived. It is shown that a massive spin -0- mode has normal dynamical propagation but the associated massless 0- is pure gauge. The spin -0+ mode investigated here is also viable in general. Both modes exhibit a simple type of "constraint bifurcation" for certain special field/parameter values.

scholarly journals Hamiltonian analysis of BHT massive gravity

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
M. Blagojević ◽  
B. Cvetković
Keyword(s):  
Massive Gravity ◽  
Hamiltonian Analysis

scholarly journals Dark matter from non-relativistic embedding gravity

2021 ◽  
pp. 2150101
Author(s):  
S. A. Paston
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Explicit Form ◽  
Equations Of Motion ◽  
Additional Contribution ◽  
Relativistic Limit ◽  
The Core ◽  
The Stability ◽  
Dimensional Surface

We study the possibility to explain the mystery of the dark matter (DM) through the transition from General Relativity to embedding gravity. This modification of gravity, which was proposed by Regge and Teitelboim, is based on a simple string-inspired geometrical principle: our spacetime is considered here as a four-dimensional surface in a flat bulk. We show that among the solutions of embedding gravity, there is a class of solutions equivalent to solutions of GR with an additional contribution of non-relativistic embedding matter, which can serve as cold DM. We prove the stability of such type of solutions and obtain an explicit form of the equations of motion of embedding matter in the non-relativistic limit. According to them, embedding matter turns out to have a certain self-interaction, which could be useful in the context of solving the core-cusp problem that appears in the [Formula: see text]CDM model.

scholarly journals Thin-shell wormholes in de Rham–Gabadadze–Tolley massive gravity

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Takol Tangphati ◽  
Auttakit Chatrabhuti ◽  
Daris Samart ◽  
Phongpichit Channuie
Keyword(s):  
Thin Shell ◽  
Correction Term ◽  
Massive Gravity ◽  
Energy Conditions ◽  
Anisotropic Pressure ◽  
Spacetime Geometry ◽  
Classical Energy ◽  
De Rham ◽  
Thin Shell Wormholes ◽  
The Stability

Abstract In this work, we study the thin-shell wormholes in dRGT massive gravity. In order to glue two bulks of the spacetime geometry, we first derive junction conditions of the dRGT spacetime. We obtain the dynamics of the spherical thin-shell wormholes in the dRGT theory. We show that the massive graviton correction term of the dRGT theory in the Einstein equation is represented in terms of the effective anisotropic pressure fluid. However, if there is only this correction term, without invoking exotic fluids, we find that the thin-shell wormholes cannot be stabilized. We then examine the stability conditions of the wormholes by introducing four existing models of the exotic fluids at the throat. In addition, we analyze the energy conditions for the thin-shell wormholes in the dRGT massive gravity by checking the null, weak, and strong conditions at the wormhole throat. We show that in general the classical energy conditions are violated by introducing all existing models of the exotic fluids. Moreover, we quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity.

Solution Structures of Pyrophthalones, I Structure and Conformation of 1,3-Indandionato-2(2-pyridinium)-betaïn — a 1H/13C NMR Approach

1987 ◽  
Vol 42 (1) ◽  
pp. 31-36 ◽  
Author(s):  
Erhard T. K. Haupt ◽  
Heindirk tom Dieck ◽  
Panayot R. Bontchev
Keyword(s):  
Hydrogen Bond ◽  
Intramolecular Hydrogen Bond ◽  
13C Nmr ◽  
Nmr Spectra ◽  
Complete Analysis ◽  
Solution Structures ◽  
The Stability ◽  
Intramolecular Hydrogen ◽  
Related Compounds ◽  
C Nmr

AbstractThe complete analysis of the 1H/13 C NMR spectra of α-Pyrophthalone and related compounds demonstrates that the earlier static planar description of the molecules is invalid for polar sol-vents, and here the stability of any intramolecular hydrogen bond is small.

A Complete Analysis and a Novel Solution for Instability in Pump Controlled Asymmetric Actuators

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
Hakan Çalışkan ◽  
Tuna Balkan ◽  
Bülent E. Platin
Keyword(s):  
Generalized Linear Model ◽  
Stability Problem ◽  
Experimental Tests ◽  
Complete Analysis ◽  
Hydraulic Circuit ◽  
Pressure Oscillations ◽  
Load Pressure ◽  
Flow Rates ◽  
Pressure Region ◽  
The Stability

This paper addresses the stability problem of pump controlled asymmetric hydraulic actuators and proposes a physical solution for it. The system under consideration utilizes a shuttle valve to compensate for unequal flow rates due to the asymmetry in the actuator. Possible hydraulic circuit configurations resulting from various valve positions are defined on the load pressure versus velocity plane and a generalized linear model of the system is derived. The investigation shows that there exists a critical load pressure region in which any equilibrium point requiring a partially open spool position is unstable during the retraction of the actuator. A particular valve underlap is proposed in order to avoid the instability and a shuttle valve selection guide is presented. Theoretical findings are validated by both numerical simulations and experimental tests. Results show that the undesired pressure oscillations are removed up to certain actuator velocities with the use of an underlapped shuttle valve.

Time Evolution of the Stability and Oxygen Reduction Reaction Activity of PtCu/C Nanoparticles

ChemCatChem ◽  
2013 ◽  
Vol 5 (9) ◽  
pp. 2627-2635 ◽  
Author(s):  
Chinnaya Jeyabharathi ◽  
Nejc Hodnik ◽  
Claudio Baldizzone ◽  
Josef C. Meier ◽  
Marc Heggen ◽  
...  
Keyword(s):  
Oxygen Reduction Reaction ◽  
Oxygen Reduction ◽  
Time Evolution ◽  
Reduction Reaction ◽  
Oxygen Reduction Reaction Activity ◽  
The Stability

A study on the stability of a PZT precursor solution based on the time evolution of mean particles size and pH

2010 ◽  
Vol 123 (1) ◽  
pp. 304-308 ◽  
Author(s):  
A. Suárez-Gómez ◽  
J.M. Saniger-Blesa ◽  
F. Calderón-Piñar
Keyword(s):  
Time Evolution ◽  
Precursor Solution ◽  
The Stability

Naphtho[1,8-bc]thiophens. II. Mass spectrometry

1968 ◽  
Vol 21 (1) ◽  
pp. 171 ◽  
Author(s):  
DG Hawthone ◽  
QN Porter
Keyword(s):  
Mass Spectrometry ◽  
Mass Spectra ◽  
Electron System ◽  
Complete Analysis ◽  
Base Peak ◽  
Aromatic System ◽  
Chemical Research ◽  
Fragment Ions ◽  
The Stability ◽  
Derivatives Of

II.* MASS SPECTROMETRY By D. G. HAWTHORN,E~$ and Q. N. PORTER^ [Manzlscript received March 6, 19671 The high-resolution mass spectra of some derivatives of naphtho[l,S-be]- thiophen have been analysed. The base peak in the spectra is usually the naphtho- [1,8-bclthienylium cation (mle 171) or one of its substitution products; this emphasizes the stability of this species. Structures are suggested for most of the other ions observed in the spectra. INTRODUUTION In Part I, which dealt with the synthesis of naphtho[l,8-bclthiophen derivatives, the mass spectra of the 2-methyl-2H- (I; R = CH,) and 2-phenyl-2H- (I; R = Ph) compounds were briefly described. It was suggested that in each case the cleavage shown gave the ion of mle 171, for which the naphthothienylium cation structure ac was proposed. (1) ac; m/e 171 In this paper we present a complete analysis of the spectra of these compounds, and of some related naphtho[l,8-bclthiophen derivatives. For reasons outlined in Part I of this series, it is not possible to write structures for fragment ions from aromatic and heteroaromatic molecules with the confidence with which this can be done for many less-aromatic systems. In writing ionic structures to formalize the observed spectra, the following principles have been used: (i) Where the formation of an odd-electron system is involved, the ion is, if possible, written as a radical cation derivable from an aromatic system. There is * Part I, Aust. J. Chem., 1966, 19, 1909. t Department of Organic Chemistry, University of Melbourne, Vic. 3052. $ Present Address: Division of Applied Mineralogy, CSIRO Chemical Research Labora- tories, Melbourne, Vic. 3001. Aust. J. Chem., 1968, 21, 171-83

scholarly journals Revisiting Samuelson's Models, Linear and Nonlinear, Stability Conditions and Oscillating Dynamics

2020 ◽  
Author(s):  
Fabio TRAMONTANA ◽  
Laura Gardini
Keyword(s):  
Analytic Solution ◽  
Oscillatory Behavior ◽  
Complete Analysis ◽  
Third Order ◽  
Order Difference ◽  
Wide Range ◽  
Second Order Difference Equation ◽  
Order Difference Equation ◽  
The Stability ◽  
Range Of Values

Abstract In this work we reconsider the dynamics of a few versions of the classical Samuelson's multiplier- accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order difference equation, is able to generate oscillations con- verging to the equilibrium for a wide range of values of the parameters, and give its analytic solution for all the possible cases. A delayed version proposed in the recent literature, represented by a linear third-order di¤erence equation, is also considered. We show that also this model is able to produce converging oscilla- tions, and give a complete analysis of the stability region of the equilibrium. A new simple nonlinear model is proposed, showing that it keeps oscillatory behavior, although coupled with other dynamics related to global effects. Our analysis confirms that the seminal work of Samuelson and simple modifications of it, may give powerful tools in the study of the business cycles.

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