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Gravitational field

About: Gravitational field is a research topic. Over the lifetime, 17951 publications have been published within this topic receiving 351335 citations.


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Journal ArticleDOI
K.S. Stelle1
TL;DR: In this article, the dynamical content of the linearized field is analyzed by reducing the fourth-order field equations to separated second-order equations, related by coupling to external sources in a fixed ratio.
Abstract: Inclusion of the four-derivative terms ∫RμνRμν(−g)1/2 and ∫R2(−g)1/2 into the gravitational action gives a class of effectively multimass models of gravity. In addition to the usual massless excitations of the field, there are now, for general amounts of the two new terms, massive spin-two and massive scalar excitations, with a total of eight degrees of freedom. The massive spin-two part of the field has negative energy. Specific ratios of the two new terms give models with either the massive tensor or the massive scalar missing, with correspondingly fewer degrees of freedom. The static, linearized solutions of the field equations are combinations of Newtonian and Yukawa potentials. Owing to the Yukawa form of the corrections, observational evidence sets only very weak restrictions on the new masses. The acceptable static metric solutions in the full nonlinear theory are regular at the origin. The dynamical content of the linearized field is analyzed by reducing the fourth-order field equations to separated second-order equations, related by coupling to external sources in a fixed ratio. This analysis is carried out into the various helicity components using the transverse-traceless decomposition of the metric.

1,209 citations

Journal ArticleDOI
TL;DR: In this paper, a comparison of massive and mass-less theories with experiment, in particular the perihelion movement of Mercury, leads to the exclusion of the massive theory and it is concluded that the graviton mass must be rigorously zero.

1,201 citations

Journal ArticleDOI
TL;DR: In this paper, the total rate, angular distribution, and polarization of the radiated energy are discussed for arbitrary eccentricity of the relative orbit, but assume orbital velocities are small.
Abstract: The gravitational radiation from two point masses going around each other under their mutual gravitational influence is calculated. Two different methods are outlined; one involves a multipole expansion of the radiation field, while the other uses the inertia tensor of the source. The calculations apply for arbitrary eccentricity of the relative orbit, but assume orbital velocities are small. The total rate, angular distribution, and polarization of the radiated energy are discussed.

1,160 citations

01 Dec 1982
TL;DR: In this paper, the authors study the solutions of the gravitational field equations which describe the contraction of a heavy star, and give general and qualitative arguments on the behavior of the metrical tensor as the contraction progresses.
Abstract: When all thermonuclear sources of energy are exhausted a sufficiently heavy star will collapse. Unless fission due to rotation, the radiation of mass, or the blowing off of mass by radiation, reduce the star's mass to the order of that of the sun, this contraction will continue indefinitely. In the present paper we study the solutions of the gravitational field equations which describe this process. In I, general and qualitative arguments are given on the behavior of the metrical tensor as the contraction progresses: the radius of the star approaches asymptotically its gravitational radius; light from the surface of the star is progressively reddened, and can escape over a progressively narrower range of angles. In II, an analytic solution of the field equations confirming these general arguments is obtained for the case that the pressure within the star can be neglected. The total time of collapse for an observer comoving with the stellar matter is finite, and for this idealized case and typical stellar masses, of the order of a day; an external observer sees the star asymptotically shrinking to its gravitational radius.

1,052 citations

Journal ArticleDOI
TL;DR: In this article, a method for the derivation of the equations of motion of test particles in a given gravitational field is developed, where the transformation properties are discussed and the equation of motion is written in a covariant form.
Abstract: A method for the derivation of the equations of motion of test particles in a given gravitational field is developed. The equations of motion of spinning test particles are derived. The transformation properties are discussed and the equations of motion are written in a covariant form.

985 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023287
2022657
2021544
2020568
2019614
2018577