scholarly journals On Some Peculiar Role of the Cosmological Constant in the General Theory of Relativity and in the Schrödinger Theory of Non-Symmetric Field

1960 ◽  
Vol 24 (6) ◽  
pp. 1149-1165 ◽  
Author(s):  
Hidekazu Nariai ◽  
Yoshio Ueno
Keyword(s):  
General Theory ◽  
Cosmological Constant ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Symmetric Field

scholarly journals Teleparallel Poincaré cosmology and ΛCDM model

2014 ◽  
Vol 23 (06) ◽  
pp. 1450057
Author(s):  
Wenjie Lu ◽  
Wolung Lee ◽  
Kin-Wang Ng
Keyword(s):  
Dark Energy ◽  
Gauge Theory ◽  
General Theory ◽  
Cosmological Constant ◽  
Cosmic Acceleration ◽  
Accelerating Universe ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Λcdm Model

We apply the teleparallelism condition to the Poincaré gauge theory (PGT) of gravity. The resultant teleparallelized cosmology is completely equivalent to the Friedmann cosmology derived from Einstein's general theory of relativity. The torsion is shown to play the role of the cosmological constant driving the cosmic acceleration. We then extend such theory to include the effect of spin and explore the possibility of accounting for the current accelerating universe by a spinning dark energy.

scholarly journals Prediction for the cosmological constant and constraints on SUSY GUTs in resummed quantum gravity

2018 ◽  
Vol 33 (29) ◽  
pp. 1830028
Author(s):  
B. F. L. Ward
Keyword(s):  
General Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Planck Scale ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Heisenberg Uncertainty Principle ◽  
Heisenberg Uncertainty

Working in the context of the Planck scale cosmology formulation of Bonanno and Reuter, we use our resummed quantum gravity approach to Einstein’s general theory of relativity to estimate the value of the cosmological constant as [Formula: see text]. We show that SUSY GUT models are constrained by the closeness of this estimate to experiment. We also address various consistency checks on the calculation. In particular, we use the Heisenberg uncertainty principle to remove a large part of the remaining uncertainty in our estimate of [Formula: see text].

scholarly journals Vacuum solutions of Einstein equations that depend on one coordinate

2020 ◽  
pp. 10-11
Author(s):  
S. Parnovsky
Keyword(s):  
Exact Solution ◽  
General Theory ◽  
Cosmological Constant ◽  
Gravitational Wave ◽  
Einstein Equations ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Vacuum Metrics ◽  
Vacuum Solutions ◽  
Zero Frequency

In the famous textbook written by Landau and Lifshitz all the vacuum metrics of the general theory of relativity are derived, which depend on one coordinate in the absence of a cosmological constant. Unfortunately, when considering these solutions the authors missed some of the possible solutions discussed in this article. An exact solution is demonstrated, which is absent in the book by Landau and Lifshitz. It describes space-time with a gravitational wave of zero frequency. It is shown that there are no other solutions of this type than listed above and Minkowski’s metrics. The list of vacuum metrics that depend on one coordinate is not complete without solution provided in this paper.

The Annotated Manuscript

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
Gravitational Field ◽  
General Theory ◽  
Equations Of Motion ◽  
Special Theory ◽  
Material Point ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Field Equations ◽  
Theory Of Gravitation

This section presents annotations of the manuscript of Albert Einstein's canonical 1916 paper on the general theory of relativity. It begins with a discussion of the foundation of the general theory of relativity, taking into account Einstein's fundamental considerations on the postulate of relativity, and more specifically why he went beyond the special theory of relativity. It then considers the spacetime continuum, explaining the role of coordinates in the new theory of gravitation. It also describes tensors of the second and higher ranks, multiplication of tensors, the equation of the geodetic line, the formation of tensors by differentiation, equations of motion of a material point in the gravitational field, the general form of the field equations of gravitation, and the laws of conservation in the general case. Finally, the behavior of rods and clocks in the static gravitational field is examined.

scholarly journals Prediction for the cosmological constant in resummed quantum gravity and constraints on susy GUTs

2015 ◽  
Vol 24 (03) ◽  
pp. 1530009
Author(s):  
B. F. L. Ward
Keyword(s):  
General Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Planck Scale ◽  
Theoretical Uncertainty ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Theoretical Issues

We use our resummed quantum gravity approach to Einstein's general theory of relativity in the context of the Planck scale cosmology formulation of Bonanno and Reuter to estimate the value of the cosmological constant such that ρΛ = (0.0024 eV)4. We argue that the closeness of this estimate to experiment constrains Supersymmetric Grand Unified Theory (susy GUT) models. We discuss in turn various theoretical issues that have been raised about the approach itself as well as about the application to estimate the cosmological constant. Given the closeness of the estimate to the currently observed value, we also discuss the theoretical uncertainty in the estimate-at this time, we argue it is still large.

Einstein and Relativity: What Price Fame?

2012 ◽  
Vol 25 (2) ◽  
pp. 197-246 ◽  
Author(s):  
David E. Rowe
Keyword(s):  
General Theory ◽  
Weimar Republic ◽  
Public Image ◽  
The Political ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
The Public ◽  
Historiography Of Science ◽  
Vast Literature

ArgumentEinstein's initial fame came in late 1919 with a dramatic breakthrough in his general theory of relativity. Through a remarkable confluence of events and circumstances, the mass media soon projected an image of the photogenic physicist as a bold new revolutionary thinker. With his theory of relativity Einstein had overthrown outworn ideas about space and time dating back to Newton's day, no small feat. While downplaying his reputation as a revolutionary, Einstein proved he was well cast for the role of mild-mannered scientific genius. Yet fame demanded its price. Surrounded by social and economic unrest in Berlin, he was caught between two worlds, one struggling to be born, another refusing to die. Far from withdrawing, he threw himself into the political fray to become a symbol for international reconciliation during the early Weimar Republic. A decade later, his public image acquired another layer when he re-emerged as a Stoic sage and selfless humanitarian, a quasi-religious figure who saw himself as a modern-day Spinoza. Focusing on events of this period and the role of the German media in portraying them, this essay highlights the scientific and political undercurrents that drew Einstein into the public eye at a critical juncture in European history. Its broader aim is to show the import of these themes within the context of the vast literature on Einstein as well as the larger historiography of science.

scholarly journals FRACTAL DUST MODEL OF THE UNIVERSE BASED ON MANDELBROT'S CONDITIONAL COSMOLOGICAL PRINCIPLE AND GENERAL THEORY OF RELATIVITY

Fractals ◽  
2003 ◽  
Vol 11 (02) ◽  
pp. 145-153 ◽  
Author(s):  
A. K. MITTAL ◽  
DAKSH LOHIYA
Keyword(s):  
Steady State ◽  
General Theory ◽  
Cosmological Constant ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Cosmological Principle ◽  
Galaxy Count ◽  
Interesting Variation ◽  
The Universe ◽  
Fractal Dust

We present a fractal dust model of the Universe based on Mandelbrot's proposal to replace the standard Cosmological Principle by his Conditional Cosmological Principle within the framework of General Theory of Relativity. This model turns out to be free from the Hubble de-Vaucouleurs paradox and is consistent with the SNe1a observations. The expected galaxy count as a function of red-shift is obtained for this model. An interesting variation is a steady state version, which can account for an accelerating scale factor without any cosmological constant in the model.

scholarly journals General Relativity and Causality, Reasoning from Metaphysics, and E. J. Lowe’s Ontology

2022 ◽  
Vol 19 (3) ◽  
pp. 5-32
Author(s):  
N. V. Golovko
Keyword(s):  
General Relativity ◽  
General Theory ◽  
Scientific Theory ◽  
Physical Interaction ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Metaphysics Of Science ◽  
The Subject ◽  
The Common

The paper aims to show the importance of reasoning “from metaphysics” in the course of a consistent interpretation of the “against neoscholasticism” thesis (J. Ladyman). The idea that “the subject of metaphysics is metaphysical possibilities, and science determines which of them are actually achieved” (E. J. Lowe, J. Katz, etc.) reinforces the role of reasoning “from metaphysics” within the field of metaphysics of science. The general theory of relativity violates the common prevailing intuition that “causality is the subject of local physical interaction” (J. Bigelow). Interpretation of causality in terms of “forces” and “coming into” within the framework of E. J. Lowe's ontology makes it possible to talk about causality in terms of “finding” and “going out” of existence of the corresponding modes of objects connected by a formal “causal relationship”. The transition to E. J. Lowe's ontology helps not only to overcome the intuition of the locality of causality, but also reveals in its own way, for example, such seemingly simple common intuitions as the dependence of the truth of propositions on time or the understanding of time as a dimension. All this once again brings us back to the understanding of the importance of the fact that a scientist, constructing or interpreting a scientific theory, as a rule, uses non-trivial philosophical assumptions that should be the subject of its own philosophical analysis. 

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