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In the present paper, we revisit gravitational theories which are invariant under TDiffs -- transverse (volume preserving) diffeomorphisms and global scale transformations. It is known that these theories can be rewritten in an equivalent…

High Energy Physics - Theory · Physics 2016-05-02 Georgios K. Karananas , Mikhail Shaposhnikov

The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\em not} as fixing the normal…

High Energy Physics - Theory · Physics 2017-05-24 Chethan Krishnan , Avinash Raju

The evolution of a generally covariant theory is under-determined. One hundred years ago such dynamics had never before been considered; its ramifications were perplexing, its future important role for all the fundamental interactions under…

General Relativity and Quantum Cosmology · Physics 2016-11-23 James M. Nester , Chiang-Mei Chen

Tensor networks prepare states that share many features of states in quantum gravity. However, standard constructions are not diffeomorphism invariant and do not support an algebra of non-commuting area operators. Recently, analogues of…

High Energy Physics - Theory · Physics 2025-12-04 Vijay Balasubramanian , Charlie Cummings

Gravitational perturbations of anti-deSitter spacetime play important roles in AdS/CFT correspondence and the brane world scenario. In this paper, we develop a gauge-invariant formalism of gravitational perturbations of maximally symmetric…

High Energy Physics - Theory · Physics 2009-10-31 Shinji Mukohyama

A quantum hamiltonian which evolves the gravitational field according to time as measured by constant surfaces of a scalar field is defined through a regularization procedure based on the loop representation, and is shown to be finite and…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Carlo Rovelli , Lee Smolin

Conformal gravity on noncommutative spacetime is considered in this paper. The presupposed gravity action consists of the Brans-Dicke gravity action with a special prefactor of the term, where the Ricci scalar couples to the scalar field,…

High Energy Physics - Theory · Physics 2011-12-07 Martin Kober

Viewing gravitational energy momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ requires two different symmetries to account for their independent conservations - spacetime and inner…

Mathematical Physics · Physics 2012-02-28 C. Wiesendanger

The equivalence between Chern-Simons and Einstein-Hilbert actions in three dimensions established by A.~Ach\'ucarro and P.~K.~Townsend (1986) and E.~Witten (1988) is generalized to the off-shell case. The technique is also generalized to…

High Energy Physics - Theory · Physics 2020-01-15 Thiago S. Assimos , Rodrigo F. Sobreiro

We perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new…

High Energy Physics - Theory · Physics 2022-06-29 Ichiro Oda

We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , B. Carneiro da Cunha , R. Menezes , A. Yu. Petrov

The dynamics of infinite, asymptotically uniform, distributions of self-gravitating particles in one spatial dimension provides a simple toy model for the analogous three dimensional problem. We focus here on a limitation of such models as…

Statistical Mechanics · Physics 2015-05-13 Andrea Gabrielli , Michael Joyce , Francois Sicard

We present a semiclassical framework in which stress-tensor deformations of a quantum field theory (QFT) reorganize into a gravitational action evaluated at a metric saddle. The deformed partition function can be written as a gravitational…

High Energy Physics - Theory · Physics 2026-04-08 Yun-Ze Li , Yunfei Xie , Song He

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we…

High Energy Physics - Theory · Physics 2008-11-26 Jihene Bouchami , M. B. Paranjape

This paper gives an essentially self-contained exposition (except for an appeal to the Lojasiewicz gradient inequality) of geometric invariant theory from a differential geometric viewpoint. Central ingredients are the moment-weight…

Symplectic Geometry · Mathematics 2021-06-01 Valentina Georgoulas , Joel W. Robbin , Dietmar A. Salamon

Gravitational theories with fixed background fields break diffeomorphism invariance. This breaking can be spontaneous or explicit. A brief summary of the main consequences of these types of breaking is presented.

General Relativity and Quantum Cosmology · Physics 2016-07-27 R. Bluhm

We consider the two-point functions of conserved bulk currents and energy-momentum tensor in a boundary CFT defined on $\mathbb{R}_-^{1,2}$. Starting from the consistent forms of boundary gauge and gravitational anomalies we derive their…

High Energy Physics - Theory · Physics 2019-07-11 Vladimir Prochazka

We discuss emergent gravity in the superplastic crystals. We restrict ourselves by the consideration of the gapped (massive) fermions coupled to gravity. In this approach the stress - energy tensor may be defined in such a way, that being…

General Relativity and Quantum Cosmology · Physics 2020-02-21 M. A. Zubkov

It is generally believed that a full-fledged theory of quantum gravity should exhibit background independence and diffeomorphism invariance. In its most general form, the latter comprises field redefinitions, which are diffeomorphisms in…

High Energy Physics - Theory · Physics 2023-01-25 Roberto Casadio , Alexander Kamenshchik , Iberê Kuntz

We investigate constraints imposed by entanglement on gravity in the context of holography. First, by demanding that relative entropy is positive and using the Ryu-Takayanagi entropy functional, we find certain constraints at a nonlinear…

High Energy Physics - Theory · Physics 2015-06-18 Shamik Banerjee , Arpan Bhattacharyya , Apratim Kaviraj , Kallol Sen , Aninda Sinha