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We contrast the initial condition requirements of various contemporary cosmological models, including inflationary and bouncing cosmologies. Various proposals such as Hartle-Hawking's no boundary, or Tunnelling boundary conditions are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. H. Coule

The Einstein-Hilbert action for general relativity is not well posed in terms of the metric $g_{ab}$ as a dynamical variable. There have been many proposals to obtain an well posed action principle for general relativity, e.g., addition of…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Sumanta Chakraborty

Gibbons-Hawking-York (GHY) terms are typically neglected when performing dimensional reductions of gravitational theories. We consider the reduction of such terms for both two-derivative and four-derivative theories in general dimensions.…

High Energy Physics - Theory · Physics 2026-01-29 Robert J. Saskowski

Einstein's vierbein formulation of general relativity based on the notion of distant parallelism (teleparallelism) naturally introduces a covariant surface term in addition to the Einstein-Hilbert action. We investigate the action principle…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Naritaka Oshita , Yi-Peng Wu

Recent proposals suggest that a notion of generalized complexity, analogous to generalized entropy, may be necessary for understanding the dynamics of holographic complexity in settings where quantum effects are non-negligible, such as…

High Energy Physics - Theory · Physics 2026-05-01 Violet Concepcion , Kyle Ritchie

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

A generic spacetime topology contains timelike boundaries. Making use of two such boundaries, we formulate a microscopic holographic dual that captures cosmological spacetime beyond the cosmic horizon patch, including the future wedge. We…

High Energy Physics - Theory · Physics 2026-04-14 Batoul Banihashemi , Gauri Batra , Albert Y. T. Law , Eva Silverstein , Gonzalo Torroba

A well-defined variational principle for gravitational actions typically requires to cancel boundary terms produced by the variation of the bulk action with a suitable set of boundary counterterms. This can be achieved by carefully…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Giulio Neri , Stefano Liberati

A systematic way of generating sets of local boundary conditions on the gauge fields in a path integral is presented. These boundary conditions are suitable for one--loop effective action calculations on manifolds with boundary and for…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Ian G. Moss , Pedro J. Silva

The bulk (Einstein-Hilbert) and boundary (Gibbons-Hawking) terms in the gravitational action are generally renormalized differently when integrating out quantum fluctuations. The former is affected by nonminimal couplings, while the latter…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Ted Jacobson , Alejandro Satz

A class of boundary conditions for canonical general relativity are proposed and studied at the quasi-local level. It is shown that for untrapped or marginal surfaces, fixing the area element on the 2-surface (rather than the induced…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roh-Suan Tung

We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the "star-genvalue" equation and to the time evolution equation. These…

Quantum Physics · Physics 2015-06-26 Nuno Costa Dias , Joao Nuno Prata

For many years, the most active area of quantum cosmology has been the issue of choosing boundary conditions for the wave function of a universe. Recently, loop quantum cosmology, which is obtained from loop quantum gravity, has shed new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald , Kevin Vandersloot

Despite the widely-held premise that initial boundary conditions (BCs) corresponding to measurements/interactions can fully specify a physical subsystem, a literal reading of Hamilton's principle would imply that both initial and final BCs…

Quantum Physics · Physics 2011-03-18 Ken Wharton

The possibility of treating boundary conditions in terms of a bilocal dynamical field is formalized in terms of a boundary action. This allows for a simple path-integral perturbation theory approach to physical effects such as radiation…

High Energy Physics - Theory · Physics 2015-12-09 Dimitra Karabali , V. P. Nair

It is well-known that the presence of a spacetime boundary requires the conventional Einstein-Hilbert (EH) action to be supplemented by the Gibbons-Hawking (GH) boundary term in order to retain the standard variational procedure. When the…

High Energy Physics - Theory · Physics 2018-07-23 Gregory Gabadadze , David Pirtskhalava

We consider a general compressible MHD system, where the magnetic field propagates in a heterogeneous medium. Using suitable penalization in terms of the transport coefficients we perform several singular limits. As a result we obtain: 1. A…

Analysis of PDEs · Mathematics 2025-05-19 Jan Brezina , Eduard Feireisl

Time-symmetric cosmological theories, in which the initial and final states are arranged to have similar features or are independently fixed, have been quite extensively discussed in the literature. However, a more general and perhaps more…

General Relativity and Quantum Cosmology · Physics 2012-04-20 Adrian Kent

We explain why it is necessary to use boundary conditions in the proof of supersymmetry of a supergravity action on a manifold with boundary. Working in both boundary (``downstairs'') and orbifold (``upstairs'') pictures, we present a…

High Energy Physics - Theory · Physics 2009-11-11 Dmitry V. Belyaev

We give an introductory account of the general boundary formulation of quantum theory. We refine its probability interpretation and emphasize a conceptual and historical perspective. We give motivations from quantum gravity and illustrate…

High Energy Physics - Theory · Physics 2012-08-06 Robert Oeckl