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We discuss status of the singularity problem in General Relativity and argue that the requirement that a physical solution must be completely free of singularities may be too strong. As an example, we consider properties of the integrable…

广义相对论与量子宇宙学 · 物理学 2012-11-29 V. N. Lukash , E. V. Mikheeva , V. N. Strokov

We review different approaches to the problem of generating the observed Hubble flow, whose discussion was pioneered by A.D. Sakharov. Extrapolating the Cosmological Standard Model to the past makes it possible to determine physical…

宇宙学与河外天体物理 · 物理学 2012-11-08 V. N. Lukash , E. V. Mikheeva , V. N. Strokov

There are two disjointed problems in cosmology within General Relativity (GR), which can be addressed simultaneously by studying the nature of geodesics around $t\rightarrow 0$, where $t$ is the physical time. One is related to the past…

广义相对论与量子宇宙学 · 物理学 2014-12-24 Aindriu Conroy , Alexey S. Koshelev , Anupam Mazumdar

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

广义相对论与量子宇宙学 · 物理学 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

We consider three methods by which one can generate new cosmological models. Two of these are based on the Lorentzian structure of spacetime. In a Lorentzian manifold there can exist horizons that separate regions of spacetime that can be…

广义相对论与量子宇宙学 · 物理学 2012-08-27 Hernando Quevedo , Michael P. Ryan,

We outline the key-steps toward the construction of a physical, fully relativistic cosmology. The influence of inhomogeneities on the effective evolution history of the Universe is encoded in backreaction terms and expressed through…

广义相对论与量子宇宙学 · 物理学 2012-07-06 Thomas Buchert

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Martin Bojowald

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Sebastian Murk , Daniel R. Terno

The classic black hole mechanics and thermodynamics are formulated for stationary black holes with event horizons. Alternative theories of gravity of interest for cosmology contain a built-in time-dependent cosmological "constant" and black…

广义相对论与量子宇宙学 · 物理学 2018-10-12 Valerio Faraoni

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Yongben Shi , Rong-Jia Yang

The properties of universes are explored that are entirely in the interior of black holes in another universe, a `mother universe'. It is argued that these models offer a paradigm that may shed a new light on old cosmological problems. The…

广义相对论与量子宇宙学 · 物理学 2022-10-17 Herwig Dejonghe

We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike $p$-brane solutions when they are lifted…

高能物理 - 理论 · 物理学 2016-12-15 E. Bergshoeff , W. Chemissany , A. Ploegh , M. Trigiante , T. Van Riet

A set of new exact analytical General Relativity (GR) solutions with time-dependent and spatially inhomogeneous quintessence demonstrate 1) a static non-empty space-time with a horizon-type singular surface; 2) time-dependent spatially…

天体物理学 · 物理学 2014-10-13 Arthur D. Chernin , David I. Santiago , Alexander S. Silbergleit

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

高能物理 - 理论 · 物理学 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

Singularity theorems of general relativity utilize the notion of causal geodesic incompleteness as a criterion of the presence of a spacetime singularity. The incompleteness of a causal curve implies the end and/or beginning of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Vladimir S. Mashkevich

We find an exact solution of Scalar-Tensor-Vector Gravity field equations that represents a black hole embedded in an expanding universe. This is the first solution of the kind found in the theory. We analyze the properties of the apparent…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Daniela Pérez , Gustavo E. Romero

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

广义相对论与量子宇宙学 · 物理学 2021-04-01 Sebastian Murk , Daniel R. Terno

New nondiagonal $G_{2}$ inhomogeneous cosmological solutions are presented in a wide range of scalar-tensor theories with a stiff perfect fluid as a matter source. The solutions have no big-bang singularity or any other curvature…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Stoytcho S. Yazadjiev

The resolution of the problem of cosmological singularity in the framework of gauge theories of gravitation is discussed. Generalized cosmological Friedmann equations for homogeneous isotropic models filled by interacting scalar fields and…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Albert V. Minkevich

Singularity theorems demonstrate the inevitable breakdown of the concept of continuous, classical spacetime under highly general conditions. Quantum gravity is expected to intervene to avoid singularities and models so far hint towards…

广义相对论与量子宇宙学 · 物理学 2024-08-30 Raúl Carballo-Rubio , Stefano Liberati , Vania Vellucci
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