A New Test of the Theory of General Relativity

1979 ◽  
Vol 3 (5) ◽  
pp. 364-364
Author(s):  
D. F. Crawford
Keyword(s):  
General Relativity ◽  
Space Time ◽  
Review Article ◽  
Curved Space ◽  
Gravitational Theories ◽  
Photon Frequency

It has been recently suggested (Crawford 1979) that there is an interaction between a photon and curved space-time that can be observed as a redshift of the photon frequency. Since the amount of the redshift is a function of the curvature it may be used to discriminate between gravitational theories. This is easily done using the parametrized post-Newtonian (PPN) limit fully described in the review article by Will (1972).

Zum Übergang von der Wellenoptik zur geometrischen Optik in der allgemeinen Relativitätstheorie

1967 ◽  
Vol 22 (9) ◽  
pp. 1328-1332 ◽  
Author(s):  
Jürgen Ehlers
Keyword(s):  
General Relativity ◽  
Maxwell Equations ◽  
Expansion Method ◽  
Flat Space ◽  
Space Time ◽  
Moving Medium ◽  
Formal Similarity ◽  
Curved Space ◽  
Optical Metric ◽  
Series Expansion Method

The transition from the (covariantly generalized) MAXWELL equations to the geometrical optics limit is discussed in the context of general relativity, by adapting the classical series expansion method to the case of curved space time. An arbitrarily moving ideal medium is also taken into account, and a close formal similarity between wave propagation in a moving medium in flat space time and in an empty, gravitationally curved space-time is established by means of a normal hyperbolic optical metric.

scholarly journals FRAME TRANSFORMATIONS OF GRAVITATIONAL THEORIES

2013 ◽  
Vol 28 (12) ◽  
pp. 1350042 ◽  
Author(s):  
XAVIER CALMET ◽  
TING-CHENG YANG
Keyword(s):  
Gravitational Theory ◽  
Space Time ◽  
Einstein Frame ◽  
Jordan Frame ◽  
Quantum Field ◽  
Quantum Fields ◽  
Theoretical Level ◽  
Curved Space ◽  
Inflation Model ◽  
Gravitational Theories

We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space–time. As an example, we consider gravitational theories in the Jordan frame of the type F(ϕ, R) = f(ϕ)R-V(ϕ) and perform the map to the Einstein frame. Our results can easily be extended to any gravitational theory. We consider the Higgs inflation model as an application of our results.

scholarly journals Schwinger’s approach to Einstein’s gravity and beyond

2014 ◽  
Vol 92 (9) ◽  
pp. 964-967 ◽  
Author(s):  
K.A. Milton
Keyword(s):  
General Relativity ◽  
Quantum Theory ◽  
20Th Century ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Space Time ◽  
Gravity Theory ◽  
Curved Space ◽  
Theoretical Physicist ◽  
The Subject

J. Schwinger (1918–1994), founder of renormalized quantum electrodynamics, was arguably the leading theoretical physicist of the second half of the 20th century. Thus it is not surprising that he made contributions to gravity theory as well. His students made major impacts on the still uncompleted program of constructing a quantum theory of gravity. Schwinger himself had no doubt of the validity of general relativity, although he preferred a particle physics viewpoint based on gravitons and the associated fields, and not the geometrical picture of curved space–time. This article provides a brief summary of his contributions and attitudes toward the subject of gravity.

scholarly journals The Reinvention of General Relativity: A Historiographical Framework for Assessing One Hundred Years of Curved Space-time

Isis ◽  
2015 ◽  
Vol 106 (3) ◽  
pp. 598-620 ◽  
Author(s):  
Alexander Blum ◽  
Roberto Lalli ◽  
Jürgen Renn
Keyword(s):  
General Relativity ◽  
Space Time ◽  
Curved Space

scholarly journals The Wave-Front Equation of Gravitational Signals in Classical General Relativity

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 216
Author(s):  
Claudio Cremaschini ◽  
Massimo Tessarotto
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Wave Front ◽  
Value Theory ◽  
Space Time ◽  
Classical General Relativity ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Wave Fronts ◽  
Curved Space

In this paper the dynamical equation for propagating wave-fronts of gravitational signals in classical general relativity (GR) is determined. The work relies on the manifestly-covariant Hamilton and Hamilton–Jacobi theories underlying the Einstein field equations recently discovered (Cremaschini and Tessarotto, 2015–2019). The Hamilton–Jacobi equation obtained in this way yields a wave-front description of gravitational field dynamics. It is shown that on a suitable subset of configuration space the latter equation reduces to a Klein–Gordon type equation associated with a 4-scalar field which identifies the wave-front surface of a gravitational signal. Its physical role and mathematical interpretation are discussed. Radiation-field wave-front solutions are pointed out, proving that according to this description, gravitational wave-fronts propagate in a given background space-time as waves characterized by the invariant speed-of-light c. The outcome is independent of the actual shape of the same wave-fronts and includes the case of gravitational waves which are characterized by an eikonal representation and propagate in a generic curved space-time along a null geodetics. The same waves are shown: (a) to correspond to the geometric-optics limit of the same curved space-time solutions; (b) to propagate in a flat space-time as plane waves with constant amplitude; (c) to display also the corresponding form of the wave-front in curved space-time. The result is consistent with the theory of the linearized Einstein field equations and the existence of gravitational waves achieved in such an asymptotic regime. Consistency with the non-linear Trautman boundary-value theory is also displayed.

RELATIVISTIC EINSTEIN–PODOLSKY–ROSEN CORRELATIONS IN COSMIC STRING SPACE–TIME VIA FERMI–WALKER TRANSPORT

2010 ◽  
Vol 08 (08) ◽  
pp. 1277-1288 ◽  
Author(s):  
KNUT BAKKE ◽  
ALEXANDRE M. DE M. CARVALHO ◽  
CLAUDIO FURTADO
Keyword(s):  
General Relativity ◽  
Bell Inequality ◽  
Geometric Approach ◽  
Space Time ◽  
Geometrical Approach ◽  
Wigner Rotation ◽  
Curved Space ◽  
Einstein Podolsky Rosen ◽  
Epr Correlations ◽  
Lorentz Boosts

We present a geometric approach to study the relativistic EPR correlations in curved space–time background given by the application of the Fermi–Walker transport in the relativistic EPR states and show that its result has the same effect as the applications of successive infinitesimal Lorentz boosts in the relativistic EPR states. We also show that the expression for the Bell inequality due to the Fermi–Walker transport is equivalent to the expression demonstrated by Terashima and Ueda,20 where the degree of violation of the Bell inequality depends on the angle of the Wigner rotation. This geometrical approach for study of the relativistic EPR correlations is a promising formulation to investigate the EPR correlations in the general relativity background.

Proof of the uniqueness of the electromagnetic energy momentum tensor

1969 ◽  
Vol 66 (2) ◽  
pp. 437-438 ◽  
Author(s):  
C. D. Collinson
Keyword(s):  
General Relativity ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Electromagnetic Energy ◽  
Curved Space

AbstractAn alternative to Fock's proof of the uniqueness of the electromagnetic energy momentum tensor is presented. The proof is four-dimensional and is applicable in the curved space-time of general relativity.

scholarly journals Gravitational Mass Dependence on Velocity and the Conservation of Energy in General Relativity

2018 ◽  
Vol 10 (2) ◽  
pp. 26
Author(s):  
Jaroslav Hynecek
Keyword(s):  
General Relativity ◽  
Free Fall ◽  
Test Body ◽  
Space Time ◽  
Gravitational Mass ◽  
Relativity Theory ◽  
Mass Dependence ◽  
Conservation Of Energy ◽  
Curved Space ◽  
Accelerated Motion

This paper investigates by simple means the relativistic accelerated motion of a small test body in a simulated uniform gravitational like field and compares the predictions of energy loss, perhaps by radiation, obtained from the General Relativity Theory (GRT) and from the Metric Theory of Gravity (MTG). The study is first conducted in a flat Minkowski space-time with simulated constant gravitational like force and later in a true curved space-time with a metric, which, however, is not derived from the GRT. It is found that the gravitational mass dependence on velocity in GRT is not correct, because it predicts a negative loss of energy while the MTG predicts correctly a positive loss. The energy is conserved in a curved space-time free fall where the gravitational mass does not depend on velocity. There can be no energy radiation during the test body free fall in a uniform gravitational field.

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