Einstein’s mistake and the cosmological constant

Harvey, Alex; Schücking, E. L.

doi:10.1119/1.19534

Cited by 41 publications

(45 citation statements)

References 9 publications

(5 reference statements)

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“…1 Indeed (3) is a solution to the modified Poisson's equation ∇ 2 = 4π Gρ M − c 2 [11] in which ρ M is the matter density. Obviously the above modified potential leads to the modified force (per unit mass);…”

Section: Newtonian Limit Of the Schwarzschild-de Sitter Spacetimementioning

confidence: 99%

Classical tests of general relativity in the Newtonian limit of the Schwarzschild–de Sitter spacetime

Miraghaei

2010

Gen Relativ Gravit

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Recently it has been shown that despite previous claims the cosmological constant affects light bending. In the present article we study light bending and the advance of Mercury's perihelion in the context of the Newtonian limit of the Schwarzschild-de Sitter spacetime employing the special relativistic equivalence of mass and energy. In both cases, up to a constant factor, we find the same results as in the full general relativistic treatment of the same phenomena. These approximate and intuitive arguments demonstrate clearly what effects should have been expected from the presence of in the general relativistic treatment of these phenomena.

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Section: Newtonian Limit Of the Schwarzschild-de Sitter Spacetimementioning

confidence: 99%

Classical tests of general relativity in the Newtonian limit of the Schwarzschild–de Sitter spacetime

Miraghaei

2010

Gen Relativ Gravit

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“…We shall now see how Lorentz invariant vacuum energy (LIVE) which may be represented by a cosmological constant,  , in the gravitational field equations, modifies these results. In this case the Poisson equation for the gravitational potential  in a distribution of matter with density  takes the form [3]: 2 2 4 G c…”

Section: Entropy Change During Gravitational Contractionmentioning

confidence: 99%

Entropy and Gravity

Grøn

2012

Entropy

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Abstract:The effect of gravity upon changes of the entropy of a gravity-dominated system is discussed. In a universe dominated by vacuum energy, gravity is repulsive, and there is accelerated expansion. Furthermore, inhomogeneities are inflated and the universe approaches a state of thermal equilibrium. The difference between the evolution of the cosmic entropy in a co-moving volume in an inflationary era with repulsive gravity and a matter-dominated era with attractive gravity is discussed. The significance of conversion of gravitational energy to thermal energy in a process with gravitational clumping, in order that the entropy of the universe shall increase, is made clear. Entropy of black holes and cosmic horizons are considered. The contribution to the gravitational entropy according to the Weyl curvature hypothesis is discussed. The entropy history of the Universe is reviewed.

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“…(9) of reference [15]). For this reason, we can identify these three quantities as the analogous of the Newton constant, the analogous of the cosmological constant and a length scale which represents the range of the interaction, as we are going to discuss below.…”

Section: Localized Sourcesmentioning

confidence: 99%

Gravitational dynamics in Bose-Einstein condensates

2008

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Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what we call gravity or matter. Bose Einstein condensates (BEC) are a natural example of analogue model since one can identify matter propagating on a (pseudo-Riemannian) metric with collective excitations above the condensate of atoms. However, until now, a description of the "analogue gravitational dynamics" for such model was missing. We show here that in a BEC system with massive quasi-particles, the gravitational dynamics can be encoded in a modified (semi-classical) Poisson equation. In particular, gravity is of extreme short range (characterized by the healing length) and the cosmological constant appears from the non-condensed fraction of atoms in the quasi-particle vacuum. While some of these features make the analogue gravitational dynamics of our BEC system quite different from standard Newtonian gravity, we nonetheless show that it can be used to draw some interesting lessons about "emergent gravity" scenarios.

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Einstein’s mistake and the cosmological constant

Cited by 41 publications

References 9 publications

Classical tests of general relativity in the Newtonian limit of the Schwarzschild–de Sitter spacetime

Classical tests of general relativity in the Newtonian limit of the Schwarzschild–de Sitter spacetime

Entropy and Gravity

Gravitational dynamics in Bose-Einstein condensates

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