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We propose and analyze a new metric that has two conformal factors a(t) and b(t) that combine the expansion of the universe and its effects on the spatial and temporal part of the Schwarzschild metric in isotropic coordinates. We present…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Metin Arik , Yorgo Şenikoğlu

Although previous results have ruled out the possibility of a static horizon in cosmology, we present black hole and white hole metrics that retain static horizons while reproducing cosmological behavior at large distances. Using an…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Ida M. Rasulian , Amjad Ashoorioon

We use a new, conformally-invariant method of analysis to test incomplete null geodesics approaching the singularity in a model of an evaporating black hole for the possibility of extensions of the conformal metric. In general, a local…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Christian Lübbe , Paul Tod

The McVittie metric does not describe a physical black hole in an expanding Universe because the curvature scalar and pressure at its event horizon are infinite. We show that extending this metric to an inhomogeneous scale factor, which…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Nikodem Popławski

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Modified Newtonian equations for gravitational orbits in the expanding universe indicate that local gravitationally bounded systems like galaxies and planetary systems are unaffected by the expansion of the Universe. This result is derived…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Vaclav Vavrycuk

We use an alternative interpretation of quantum mechanics, based on the Bohmian trajectory approach, and show that the quantum effects can be included in the classical equation of motion via a conformal transformation on the background…

General Relativity and Quantum Cosmology · Physics 2019-11-20 G. Gregori , B. Reville , B. Larder

Recent advancements in observational techniques have led to new tests of the general relativistic predictions for black-hole spacetimes in the strong-field regime. One of the key ingredients for several tests is a metric that allows for…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Dirk Heumann , Dimitrios Psaltis

The complete family of exact solutions representing accelerating and rotating black holes with possible electromagnetic charges and a NUT parameter is known in terms of a modified Plebanski-Demianski metric. This demonstrates the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Griffiths , J. Podolsky

We show that modelling the universe as a pre-geometric system with emergent quantum modes, and then constructing the classical limit, we obtain a new account of space and gravity that goes beyond Newtonian gravity even in the…

General Physics · Physics 2007-09-20 Reginald T Cahill

An approach is presented to resolve key paradoxes in black hole physics through the application of complex Riemannian spacetime. We extend the Schwarzschild metric into the complex domain, employing contour integration techniques to remove…

General Relativity and Quantum Cosmology · Physics 2025-07-14 J. W. Moffat

In this work, we use power-law cosmology to investigate the evolution of black holes within the context of metric $f(R)$ gravity satisfying the conditions provided by Starobinsky model. In our study, it is observed that presently…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Suraj Kumar Pati , Bibekananda Nayak , Lambodar Prasad Singh

We have constructed a spherically symmetric structure model in a cosmological background filled with perfect fluid with non-vanishing pressure as an exact solution of Einstein equations using the Lema\^{i}tre solution. To study its local…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Rahim Moradi , Javad T. Firouzjaee , Reza Mansouri

In the past years, black holes and the fate of their singularity have been heavily studied within loop quantum gravity. Effective spacetime descriptions incorporating quantum geometry corrections are provided by the so-called polymer…

General Relativity and Quantum Cosmology · Physics 2021-04-08 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

A spherically symmetric evolution model of self-gravitating matter with the equation of state P=wE (where w=const<-1) is considered. The equations of the model are written in the frame of reference comoving with matter. A criterion for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander Shatskiy

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

High Energy Physics - Theory · Physics 2010-04-06 Kei-ichi Maeda , Masato Nozawa

In the standard FRW formalism, the scale factor is assumed to describe the expansion of the universe. However, by examining empty space with a positive cosmological constant (i.e., a de Sitter space), we find that this assumption is…

General Physics · Physics 2025-08-05 J. M. Greben

Understanding how dark matter affects the immediate environment of black holes (BHs) is crucial for interpreting horizon-scale observations. We study rotating BHs surrounded by perfect fluid dark matter (PFDM), exploring their observable…

High Energy Astrophysical Phenomena · Physics 2026-02-03 Huang Yu-Xiang , Guo Sen , Liang En-Wei , Lin Kai

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan
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