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We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

广义相对论与量子宇宙学 · 物理学 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $\lambda$, are implemented through a canonical…

广义相对论与量子宇宙学 · 物理学 2022-10-07 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

广义相对论与量子宇宙学 · 物理学 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera

In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around…

广义相对论与量子宇宙学 · 物理学 2019-09-13 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

We provide a general algorithm to construct a Hamiltonian, such that its dynamical flow covariantly defines any given spherically symmetric and static metric. This Hamiltonian is defined as a linear combination of the standard (general…

广义相对论与量子宇宙学 · 物理学 2025-11-21 Asier Alonso-Bardaji , David Brizuela

Several properties of canonical quantum gravity modify space-time structures, sometimes to the degree that no effective line elements exist to describe the geometry. An analysis of solutions, for instance in the context of black holes, then…

广义相对论与量子宇宙学 · 物理学 2011-11-04 Martin Bojowald , George M. Paily , Juan D. Reyes , Rakesh Tibrewala

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

广义相对论与量子宇宙学 · 物理学 2025-11-03 Etera R. Livine , Yuki Yokokura

The issue of general covariance in effective quantum gravity models within the Hamiltonian framework is addressed. The previously proposed equations for the covariance condition in spherically symmetric models are explicitly derived. By…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Cong Zhang , Jerzy Lewandowski , Yongge Ma , Jinsong Yang

Emergent modified gravity provides a covariant, effective framework for obtaining spherically symmetric black hole solutions in models of loop quantum gravity with scale-dependent holonomy modifications. Exact solutions for vacuum black…

广义相对论与量子宇宙学 · 物理学 2024-07-18 Idrus Husin Belfaqih , Martin Bojowald , Suddhasattwa Brahma , Erick I. Duque

The longstanding issue of general covariance in effective models of quantum gravity is addressed, which arises when canonical quantum gravity leads to a semiclassical model described by an effective Hamiltonian constraint. In the context of…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Cong Zhang , Jerzy Lewandowski , Yongge Ma , Jinsong Yang

We study the homogeneous gravitational collapse of a spherical cloud of matter in a super-renormalizable and asymptotically free theory of gravity. We find a picture that differs substantially from the classical scenario. The central…

广义相对论与量子宇宙学 · 物理学 2014-02-21 Cosimo Bambi , Daniele Malafarina , Leonardo Modesto

We derive effective equations with loop quantum gravity corrections for the Lema\^itre-Tolman-Bondi family of space-times, and use these to study quantum gravity effects in the Oppenheimer-Snyder collapse model. For this model, after the…

广义相对论与量子宇宙学 · 物理学 2022-06-15 Jarod George Kelly , Robert Santacruz , Edward Wilson-Ewing

In this work a loop quantum corrected model is obtained for spherically symmetric space-times in the vacuum. This effective model is derived by the use of the path integral method, previously employed in several models of Loop Quantum…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Juan Carlos Del Águila , Hugo A. Morales

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

广义相对论与量子宇宙学 · 物理学 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

The spacetime singularities in classical general relativity are inevitable, which are also predicated by the celebrated singularity theorems. However, it is general belief that singularities do not exist in the nature and they are the…

广义相对论与量子宇宙学 · 物理学 2015-10-20 Sushant G. Ghosh

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

广义相对论与量子宇宙学 · 物理学 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

广义相对论与量子宇宙学 · 物理学 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

We revisit the non-singular black hole solution in (extended) mimetic gravity with a limiting curvature from a Hamiltonian point of view. We introduce a parameterization of the phase space which allows us to describe fully the Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2018-06-13 Jibril Ben Achour , Frederic Lamy , Hongguang Liu , Karim Noui

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

广义相对论与量子宇宙学 · 物理学 2017-06-14 Ramon Torres
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