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We apply the Hawking-Hayward quasi-local energy construct to obtain in a rigorous way the turnaround radius of cosmic structures in General Relativity. A splitting of this quasi-local mass into local and cosmological parts describes the…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Valerio Faraoni , Marianne Lapierre-Léonard , Angus Prain

The turnaround radius of a large structure in an accelerating universe has been studied only for spherical structures, while real astronomical systems deviate from spherical symmetry. We show that, for small deviations from spherical…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Andrea Giusti , Valerio Faraoni

A recent generalization of the Hawking-Hayward quasilocal energy to scalar-tensor gravity is adapted to general spherically symmetric geometries. It is then applied to several black hole and other spherical solutions of scalar-tensor and…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Andrea Giusti , Valerio Faraoni

A new generalization of the Hawking-Hayward quasilocal energy to scalar-tensor gravity is proposed without assuming symmetries, asymptotic flatness, or special spacetime metrics. The procedure followed is simple but powerful and consists of…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Valerio Faraoni

We revisit the concept of turnaround radius in cosmology, in the context of modified gravity. While preliminary analyses were limited to scalar-tensor/$F(R)$ gravity, we extend the definition and the study of this quantity to a much broader…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

A generalization of the Hawking-Hayward quasilocal mass to scalar-tensor gravity is compared, in vacuo and for asymptotically flat stationary geometries, with a recent multipole expansion of the gravitational field. The quasilocal mass seen…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Valerio Faraoni , Jeremy Coté

In an accelerating universe in General Relativity there is a maximum radius above which a shell of test particles cannot collapse, but is dispersed by the cosmic expansion. This radius could be used in conjunction with observations of large…

General Relativity and Quantum Cosmology · Physics 2015-11-05 Valerio Faraoni

We show that in a generic scalar-tensor theory of gravity, the ``referenced'' quasilocal mass of a spatially bounded region in a classical solution is invariant under conformal transformations of the spacetime metric. We first extend the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sukanta Bose , Daksh Lohiya

The concept of turnaround surface in an accelerating universe is generalized to arbitrarily large deviations from spherical symmetry, to close the gap between the idealized theoretical literature and the real world observed by astronomers.…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Andrea Giusti , Valerio Faraoni

We derive a formula describing the transformation of the Hawking-Hayward quasi-local energy under a conformal rescaling of the spacetime metric. A known formula for the transformation of the Misner-Sharp-Hernandez mass is recovered as a…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Angus Prain , Vincenzo Vitagliano , Valerio Faraoni , Marianne Lapierre-Léonard

We investigate the turnaround radius in the spherical collapse model, both in General Relativity and in modified gravity, in particular $f(R)$ scenarios. The phases of spherical collapse are marked by the density contrast in the instant of…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Rafael C. C. Lopes , Rodrigo Voivodic , Luis Raul Abramo , Laerte Sodré

The conformal transformation of the Hawking-Hayward quasi-local mass is reexamined. It has been found recently that the conformal transformation of the latter exhibits the 'wrong' conformal factor compared to the way usual masses transform…

General Relativity and Quantum Cosmology · Physics 2016-11-11 Fayçal Hammad

In the present work we study a concrete model of Scalar--Tensor theory of gravity characterized by two free parameters, and compare its predictions against observational data and constraints coming from supernovae, solar system tests as…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-14 Grigoris Panotopoulos , Angel Rincon

The accelerating behavior of cosmic fluid opposes to the gravitational attraction, at present epoch, whereas standard gravity is dominant at small scales. As a consequence, there exists a \emph{point} where the effects are counterbalanced,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Salvatore Capozziello , Konstantinos F. Dialektopoulos , Orlando Luongo

The wavefunctional in quantum gravity gives an amplitude for 3-geometries and matter fields. The four-space is usually recovered in a semiclassical approximation where the gravity variables are taken to oscillate rapidly compared to matter…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Esko Keski-Vakkuri , Samir D. Mathur

We consider gravity in 3+1 spacetime dimensions coupled to $N$ scalar matter fields in a semiclassical limit where $N\to\infty$. The dynamical evolution of a black hole including the back-reaction of the Hawking radiation on the metric is…

High Energy Physics - Theory · Physics 2023-09-21 David A. Lowe , Larus Thorlacius

The maximum size of a cosmic structure is given by the maximum turnaround radius -- the scale where the attraction due to its mass is balanced by the repulsion due to dark energy. We derive generic formulae for the estimation of the maximum…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-17 Sourav Bhattacharya , Konstantinos F. Dialektopoulos , Antonio Enea Romano , Constantinos Skordis , Theodore N. Tomaras

The scalar-tensor theory of gravity with the Higgs field as scalar field is presented. For central symmetry it reproduces the empirically measured flat rotation curves of galaxies. We approximate the galaxy by a polytropic gas sphere with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nils M. Bezares-Roder , Heinz Dehnen

We introduce quantum field theory on quantum space-times techniques to characterize the quantum vacua as a first step towards studying black hole evaporation in spherical symmetry in loop quantum gravity and compute the Hawking radiation.…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Rodolfo Gambini , Jorge Pullin

The Brown-York quasilocal energy is applied to three cosmological problems which have previously been studied with the Hawking-Hayward quasilocal energy (Newtonian simulations of large scale structure formation, turnaround radius in the…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Marianne Lapierre-Leonard , Valerio Faraoni , Faycal Hammad
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