McVittie’s legacy: Black holes in an expanding universe

Kaloper, Nemanja; Kleban, Matthew; Martin, Damien

doi:10.1103/physrevd.81.104044

Cited by 147 publications

(293 citation statements)

References 40 publications

(88 reference statements)

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“…We note a possible weakness [36] of the McVittie spacetime we used here. Precisely, all McVittie descriptions take the background matter density to be homogeneous, ρ ≡ ρ(τ ), in addition to the usual, central overdensity.…”

Section: Discussionmentioning

confidence: 99%

“…[36] and references therein, also [38]), for which the metric g ab reads, when we are much outside the Schwarzschild radius of the body,…”

Section: The Maximum Turn Around Radiusmentioning

confidence: 99%

“…We also refer our reader to [35], for a discussion on general calculation of the turn around radius in alternative gravity theories admitting McVittie solutions (e.g. [36] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Large scale structures and the cubic galileon model

Bhattacharya

Dialektopoulos

Tomaras

2016

J. Cosmol. Astropart. Phys.

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Section: Discussionmentioning

confidence: 99%

“…[36] and references therein, also [38]), for which the metric g ab reads, when we are much outside the Schwarzschild radius of the body,…”

Section: The Maximum Turn Around Radiusmentioning

confidence: 99%

See 1 more Smart Citation

Large scale structures and the cubic galileon model

Bhattacharya

Dialektopoulos

Tomaras

2016

J. Cosmol. Astropart. Phys.

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“…However, Edwin Hubble [11] in 1929, proved that the universe was indeed expanding. A single black hole of mass M immersed in a homogeneous isotropic fluid has a metric given by McVittie's solution [12,13]:…”

Section: Exact Analytic Solutions Of Einstein's Field Equationsmentioning

confidence: 99%

Geometry Is the Common Thread in a Grand Unified Field Theory

Maliki¹

2017

JPSA

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Abstract:The consequence of the wave-particle duality is a pointer to the fact that everything in the universe, including light and gravity, can be described in terms of particles. These particles have a property called spin. What the spin of a particle really tells us is what the particle looks like from different directions, in other words it is nothing more than a geometrical property. The motivation for this work stems from the fact that geometry has always played a fundamental role in physics, macroscopic and microscopic, relativistic and non-relativistic. Our belief is that if a GUT (Grand Unified Theory) is to be established at all, then geometry must be the common thread connecting all the different aspects of the already known theories. We propose a new way to visualize the concept of four-dimensional space-time in simple geometrical terms. It is observed that our time frame becomes curved, just as the space-frame, in the presence of a massive gravitating body. Specifically, in the event horizon of a black hole, where time seems to grind to a halt for external observers, the time frame appears to curve in on itself, forming an imaginary loop. This results in extreme time dilation, due to the strong gravitational field. Finally we adopt a descriptive view of a GUT called Quantum Necklace GUT which attempts to connect gravity together the other three fundamental forces of nature, namely the strong, weak and electromagnetic interactions.

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“…See e.g., Refs. [20][21][22][23][24][25][26][27][28] for mathematical investigations of the geometrical properties of McVittie metric. In Ref.…”

Section: Introductionmentioning

confidence: 99%

On the Effect of the Cosmological Expansion on the Gravitational Lensing by a Point Mass

Piattella

2016

Universe

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Abstract:We analyse the effect of the cosmological expansion on the deflection of light caused by a point mass, adopting the McVittie metric as the geometrical description of a point-like lens embedded in an expanding universe. In the case of a generic, non-constant Hubble parameter, H, we derive and approximately solve the null geodesic equations, finding an expression for the bending angle δ, which we expand in powers of the mass-to-closest approach distance ratio and of the impact parameter-to-lens distance ratio. It turns out that the leading order of the aforementioned expansion is the same as the one calculated for the Schwarzschild metric and that cosmological corrections contribute to δ only at sub-dominant orders. We explicitly calculate these cosmological corrections for the case of the H constant and find that they provide a correction of order 10 −11 on the lens mass estimate.

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McVittie’s legacy: Black holes in an expanding universe

Cited by 147 publications

References 40 publications

Large scale structures and the cubic galileon model

Large scale structures and the cubic galileon model

Geometry Is the Common Thread in a Grand Unified Field Theory

On the Effect of the Cosmological Expansion on the Gravitational Lensing by a Point Mass

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