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We provide a mode-sum prescription to directly compute the renormalized stress-energy tensor (RSET) for scalar fields in the Boulware vacuum. The method generalizes the recently developed extended coordinate method which was previously only…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Julio Arrechea , Cormac Breen , Adrian Ottewill , Lorenzo Pisani , Peter Taylor

In quantum field theory applied to black hole spacetimes, substantial evidence suggests that the Unruh and Hartle-Hawking vacuum states become singular at Cauchy horizons. This raises essential questions regarding the impact of quantum…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Julio Arrechea , Giulio Neri , Stefano Liberati

We derive constraints on the form of the renormalized stress tensor for states on Kerr space-time based on general physical principles: symmetry, the conservation equations, the trace anomaly and regularity on (sections of) the event…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Adrian C. Ottewill , Elizabeth Winstanley

We explicitly compare the structure of the renormalized stress-energy tensor (RSET) of a massless scalar field in a (1+1) curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop…

General Relativity and Quantum Cosmology · Physics 2012-04-10 Carlos Barceló , Raúl Carballo , Luis J. Garay

We study the renormalized stress-energy tensor (RSET) for a massless, conformally coupled scalar field on global anti-de Sitter space-time in four dimensions. Robin (mixed) boundary conditions are applied to the scalar field. We compute…

High Energy Physics - Theory · Physics 2024-04-16 Thomas Morley , Sivakumar Namasivayam , Elizabeth Winstanley

We analyze the renormalized stress-energy tensor (RSET) of a massless quantum scalar field in time-dependent gravitational backgrounds. Starting from its formal expression obtained within the covariant perturbative expansion to lowest order…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. Boasso , F. D. Mazzitelli

The backreaction of quantum fields in their vacuum state results in equilibrium structures that surpass the Buchdahl compactness limit. Such backreaction is encapsulated in the vacuum expectation value of the renormalized stress-energy…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

The existence of trace anomalies for conformally coupled quantum fields in curved spacetimes, despite the vanishing of the trace of the conformally invariant classical stress-energy tensor, was firmly established in the 1970's, and…

General Relativity and Quantum Cosmology · Physics 2018-08-30 James M. Bardeen

We show that the appropriate vacuum state for the interior of a box with reflecting walls being lowered adiabatically into a Schwarzschild black hole is the Boulware state. This is concordant with the results of Unruh and Wald, who used a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Warren G. Anderson

We study the renormalized stress-energy tensor (RSET) for static quantum states on (n+1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dean Morgan , Stuart Thom , Elizabeth Winstanley , Phil M. Young

We compute the renormalized stress-energy tensor for a massless quantum scalar field in the background of the horizonless Bardeen spacetime. Within the weak-field approximation, we show that the vacuum fluctuations differ significantly…

High Energy Physics - Theory · Physics 2025-12-17 Andrés Boasso , Francisco D. Mazzitelli

We study the backreaction of quantum fields in the Boulware vacuum state on the Schwarzschild geometry, using the Riegert--Mottola--Vaulin renormalized stress-energy tensor derived from the conformal anomaly. An order-reduction procedure is…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Shinji Mukohyama , Kazumasa Okabayashi

I show that in the Boulware vacuum (1) all standard (point-wise and averaged) energy conditions are violated throughout the exterior region---all the way from spatial infinity down to the event horizon, and (2) outside the event horizon the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Matt Visser

Building on a series of earlier papers [gr-qc/9604007, gr-qc/9604008, gr-qc/9604009], I investigate the various point-wise and averaged energy conditions in the Unruh vacuum. I consider the quantum stress-energy tensor corresponding to a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Matt Visser

We analyze the vacuum fluctuations and the stress-energy tensor of a scalar field of mass $M$ in a conical spacetime, where the topological singularity at the apex requires boundary conditions for the field equation. The necessity of…

High Energy Physics - Theory · Physics 2025-12-05 João Paulo M. Pitelli , Ricardo A. Mosna , Victor Hugo M. Ramos , João C. A. Barata

Building on a pair of earlier papers, I investigate the various point-wise and averaged energy conditions for the quantum stress-energy tensor corresponding to a conformally-coupled massless scalar field in the in the (1+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Matt Visser

Vacuum and particles can be naturally defined in the adiabatic regime of an expanding universe. In general, however, there is no preferred choice of a vacuum state, unless the spacetime background possesses special symmetries. In the…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Pau Beltrán-Palau , Sergi Nadal-Gisbert , José Navarro-Salas , Silvia Pla

Standard General Relativity assumes that, in the absence of classical matter sources, spacetime is empty. This chapter considers and analyses the new behaviours of the gravitational field that appear when one substitutes this emptiness by a…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Julio Arrechea , Carlos Barceló , Valentin Boyanov

Vacuum expectation values of the surface energy-momentum tensor is investigated for a massless scalar field obeying mixed boundary condition on a brane in de Sitter bulk. To generate the corresponding vacuum surface densities we use the…

High Energy Physics - Theory · Physics 2014-11-18 M R Setare

Black holes modeled by the Kerr metric are not semiclassically self-consistent at or below the inner horizon. The renormalized stress-energy tensor (RSET) of a scalar quantum field in the Unruh state has been found to diverge at the Kerr…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Tyler McMaken
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