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A new class of solutions to Einstein's classical field equations of general relativity is presented. The solutions describe a non-rotating, spherically symmetric, compact self gravitating object, residing in a static electro-vacuum space…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri

We consider a theory of $N$ self-interacting quantum scalar fields with quartic $O(N)$-symmetric potential, with a coupling constant $\lambda$, in a generic curved spacetime. We analyze the renormalization process of the Semiclassical…

High Energy Physics - Theory · Physics 2021-06-03 Diana L. López Nacir , Julián Rovner

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

The macroscopic effects of the quantum conformal anomaly are evaluated in a simplified two-dimensional model of gravitational collapse. The effective action and stress tensor of the anomaly can be expressed in a local quadratic form by the…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Emil Mottola , Mani Chandra , Gian Mario Manca , Evgeny Sorkin

The origin of negative pressure fluid (the dark energy) is investigated in the quantum model of the homogeneous, isotropic and closed universe filled with a uniform scalar field and a perfect fluid which defines a reference frame. The…

General Relativity and Quantum Cosmology · Physics 2008-12-19 V. E. Kuzmichev , V. V. Kuzmichev

Various properties of the Misner-Sharp spherically symmetric gravitational energy E are established or reviewed. In the Newtonian limit of a perfect fluid, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Sean A. Hayward

In a quantum revival, a localized wavepacket re-forms or "revives" into a compact reincarnation of itself long after it has spread in an unruly fashion over a region restricted only by the potential energy. This is a purely quantum…

Other Condensed Matter · Physics 2015-05-13 Zhexian Wang , Eric J. Heller

Using both numerical and analytical tools we study various features of static, spherically symmetric solutions of the Einstein-Vlasov system. In particular, we investigate the possible shapes of their mass-energy density and find that they…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hakan Andreasson , Gerhard Rein

We investigate the rotational response of a confined, two-dimensional quantum droplet, which emerges in an attractive binary Bose mixture that is stabilized against collapse by beyond-mean-field effects. We consider both a harmonic and an…

Quantum Gases · Physics 2026-03-24 S. Nikolaou , G. M. Kavoulakis , M. Ogren

Aims: In the present work we search for a new model of compact star within embedding class one spacetime i.e., four dimensional spacetime embedded in five dimensional Pseudo Euclidean space. Methods: In particular we propose a new mass…

General Physics · Physics 2017-10-11 S. K. Maurya , Y. K. Gupta , Farook Rahaman , Monsur Rahaman , Ayan Banerjee

We analytically investigate a new family of horizonless compact objects in vector-tensor theories of gravity, called ultracompact vector stars. They are sourced by a vector condensate, induced by a non-minimal coupling with gravity. They…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Gianmassimo Tasinato

Attraction of the quantum particle to the center in the 3D space with potential V/r^2 gives rise to the quantum collapse, i.e., nonexistence of the ground state (GS) when the attraction strength exceeds a critical value (V = 1/8, in the…

Quantum Gases · Physics 2015-06-17 Hidetsugu Sakaguchi , Boris A. Malomed

Quantum inequality restrictions on the stress-energy tensor for negative energy are developed for three and four-dimensional static spacetimes. We derive a general inequality in terms of a sum of mode functions which constrains the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Michael J. Pfenning , L. H. Ford

Initially far out-of-equilibrium self-gravitating systems form, through a collisionless relaxation dynamics, quasi-stationary states (QSS). These may arise from a bottom-up aggregation of structures or in a top-down frame; their…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-11 Francesco Sylos Labini , Roberto Capuzzo-Dolcetta

Known examples in plane symmetry or Gowdy symmetry show that given a $1$-parameter family of solutions to the vacuum Einstein equations, it may have a weak limit which does not satisfy the vacuum equations, but instead has a non-trivial…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Cécile Huneau , Jonathan Luk

The next-to-leading term of the renormalized stress-energy tensor of the quantized massive field with an arbitrary curvature coupling in the spacetime of the Schwarzschild black hole is constructed. It is achieved by functional…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Jerzy Matyjasek , Dariusz Tryniecki

We consider an effective viscous pressure as the result of a backreaction of inhomogeneities within Buchert's formalism. The use of an effective metric with a time-dependent curvature radius allows us to calculate the luminosity distance of…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Rodrigo M. Barbosa , G. Eddy , I. Chirinos , Winfried Zimdahl , Oliver F. Piattella

This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The result is twofold. First, we establish the existence of bounded…

Analysis of PDEs · Mathematics 2021-09-22 Roberta Bianchini , Charlotte Perrin

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

We calculate a general effective stress-energy tensor induced by cosmological inhomogeneity in effective theories of gravity where the action is Taylor-expandable in the Riemann tensor and covariant derivatives of the Riemann tensor. This…

General Relativity and Quantum Cosmology · Physics 2016-08-19 Anthony W. H. Preston