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Two-dimensional Schwarzschild-de Sitter is a convenient spacetime in which to study the effects of horizons on quantum fields since the spacetime contains two horizons, and the wave equation for a massless minimally coupled scalar field can…

High Energy Physics - Theory · Physics 2022-06-02 Paul R. Anderson , Jennie Traschen

In a four-dimensional Schwarzschild-de Sitter background, the spherically symmetric $(\ell=0)$ contribution to the Hadamard two-point correlation function is computed for a massless minimally-coupled scalar field in the Unruh state.…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Ian M. Newsome , Silvia Pla , Paul R. Anderson

Detailed behaviors of the modes of quantized scalar fields in the Unruh state for various eternal black holes in two dimensions are investigated. It is shown that the late-time behaviors of some of the modes of the quantum fields and of the…

General Relativity and Quantum Cosmology · Physics 2023-06-08 Paul R. Anderson , Shohreh Gholizadeh Siahmazgi , Zachary P. Scofield

The behaviors of the modes for a massless minimally coupled scalar field are investigated for the Unruh state for Schwarzschild spacetime and the "in" vacuum state for a spacetime in which a spherically symmetric null shell collapses to…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Alessandro Fabbri

Motivated by black hole physics, we define the Unruh state for a scalar field in de Sitter space. Like the Bunch-Davies state, the Unruh-de Sitter state appears thermal to a static observer. However, it breaks some of the symmetries of de…

High Energy Physics - Theory · Physics 2019-11-26 Lars Aalsma , Maulik Parikh , Jan Pieter van der Schaar

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

The late-time behaviors of the modes in the Unruh state for various eternal two-dimensional black holes are discussed. The Unruh state is designed to be a state that mimics the late-time behaviors of quantized fields that Hawking predicted…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Shohreh Gholizadeh Siahmazgi

The study of physical effects of quatum fields in black hole spacetimes, which is related to questions such as the validity of the strong cosmic censorship conjecture, requires a Hadamard state describing the physical situation. Here, we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Christiane Klein

This two-part contribution to the Proceedings of the Eighth Canadian Conference on General Relativity and Relativistic Astrophysics is devoted to the evolution of a massless scalar field in two black-hole spacetimes which are not…

General Relativity and Quantum Cosmology · Physics 2009-10-31 William G. Laarakkers , Eric Poisson

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

In this paper, the study of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime is continued. The normalization constants for the eigenfunctions of the corresponding radial equation are calculated,…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Mikhail N. Smolyakov

We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In…

High Energy Physics - Theory · Physics 2021-06-22 Rachel A. Rosen , Luca Santoni

The decay behavior of a massless scalar field in the Schwarzschild-de Sitter spacetime is well-known to follow an exponential law at asymptotically late times $t \rightarrow \infty$. In contrast, a massive scalar field in the asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. A. Konoplya

We investigate the dynamical behavior of a scalar field non-minimally coupled to Einstein's tensor and Ricci scalar in geometries of asymptotically de Sitter spacetimes. We show that the quasinormal modes remain unaffected if the scalar…

General Relativity and Quantum Cosmology · Physics 2019-04-25 R. D. B. Fontana , Jeferson de Oliveira , A. B. Pavan

We construct a mass or energy function for the non-Nariai class Schwarzschild-de Sitter black hole spacetime in the region between the black hole and the cosmological event horizons. The mass function is local, positive definite, continuous…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Sourav Bhattacharya , Amitabha Lahiri

Quantum effects are studied in both Schwarzschild spacetime and a spacetime in which a null shell collapses to form a black hole via the vacuum polarization $\langle \phi^2 \rangle$ and stress-energy tensor $\langle T_{ab} \rangle$ for a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Paul R. Anderson , Amanda Peake , Shohreh Gholizadeh Siahmazgi

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

We investigate the quantum evolution of large black holes that nucleate spontaneously in de Sitter space. By numerical computation in the s-wave and one-loop approximations, we verify claims that such black holes can initially…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jens C. Niemeyer , Raphael Bousso

Quantum field effects on a classical background spacetime may be obtained from the semiclassical equations of General Relativity with the expectation value of the stress-energy tensor of the quantum field as a source. This expectation value…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Noa Zilberman , Marc Casals , Amos Ori , Adrian C. Ottewill

In this paper we show that the equation of motion of a massless scalar particle near the black hole (BH) horizon in the Schwarzschild-deSitter (SdS) spacetime enjoys a hidden conformal symmetry when the two horizons satisfy a quadratic…

High Energy Physics - Theory · Physics 2022-12-28 D. Guerrero-Dominguez , P. Talavera
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