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Related papers: Functional approach to (2+1) dimensional gravity

200 papers

A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann

(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

By defining a regular gauge which is conformal-like and provides instantaneous field propagation, we investigate classical solutions of (2+1)-Gravity coupled to arbitrarily moving point-like particles. We show how to separate field…

High Energy Physics - Theory · Physics 2009-10-28 A. Bellini , M. Ciafaloni , P. Valtancoli

It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

High Energy Physics - Theory · Physics 2023-06-16 Tomasz Trześniewski

We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and removing all redundant gauge degrees of freedom, we arrive…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Juergen Matschull , Max Welling

We derive a first order formalism for solving the scattering of point sources in (2+1) gravity with negative cosmological constant. We show that their physical motion can be mapped, with a polydromic coordinate transformation, to a trivial…

High Energy Physics - Theory · Physics 2016-12-28 P. Valtancoli

We consider the quantum dynamics of both open and closed two- dimensional universes with ``wormholes'' and particles. The wave function is given as a sum of freely propagating amplitudes, emitted from a network of mapping class images of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 H. Waelbroeck

After a preliminary discussion of the relevance of the field nature of gravitation interaction, both for the fundamental interaction of particles and the topology of space time, a method is proposed to produce and detect a dynamical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bruno Ferretti

The field theoretic action for gravitational interactions in d+2 dimensions is constructed in the formalism of 2T-physics. General Relativity in d dimensions emerges as a shadow of this theory with one less time and one less space…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars

We use effective field theory tools to study non-conservative effects in systems of gravitating objects in general spacetime dimension. Using the classical version of the Closed Time Path formalism, we treat both the radiative gravitational…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Ofek Birnholtz , Shahar Hadar

By modeling the particle as a two-dimensional oscillator with the natural angular frequency equal to the Zitterbewegung frequency, the expression of the gravitational force between two particles is obtained. Gravitational force is the…

General Physics · Physics 2021-06-11 Ion Simaciu , Zoltan Borsos , Viorel Drafta , Gheorghe Dumitrescu

We analyse a mechanical system in two-dimensional relative motion with friction. Although the system is simple, the peculiar interplay between two kinetic friction forces and gravity leads to the wide range of admissible solutions exceeding…

Physics Education · Physics 2007-05-23 Dariusz Grech , Zygmunt Mazur

Exchange symmetry in acceleration partitions the configuration space of an N particle, one-dimensional, gravitational system into N! equivalent cells. We take advantage of the resulting small angular extent of each cell to construct a…

Statistical Mechanics · Physics 2009-11-11 Bruce N. Miller , Kenneth R. Yawn , Bill Maier

The properties of a string-inspired two-dimensional theory of gravity are studied. The post-Newtonian and weak-field approximations, `stellar' structure and cosmological solutions of this theory are developed. Some qualitative similarities…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann , S. F. Ross

External gravitational fields induce phase factors in the wave functions of particles. The phases are exact to first order in the background gravitational field, are manifestly covariant and gauge invariant and provide a useful tool for the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Giorgio Papini

The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined. It is shown that the splitting of the neutrino phase into a ``kinematic'' and a ``gravitational''…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. G. Pereira , C. M. Zhang

We study the interaction of two massive particles with a quantised gravitational field in its vacuum state using two different position observables: (i) a frame-dependent coordinate separation and (ii) a frame-independent geodesic…

Quantum Physics · Physics 2025-09-22 Aaron R. Malcolm , Zhi-Wei Wang , B. Sharmila , Animesh Datta

After briefly reviewing the hamiltonian approach to 2+1 dimensional gravity in absence of matter on closed universes, we consider 2+1 dimensional gravity coupled to point particles in an open universe. We show that the hamiltonian structure…

High Energy Physics - Theory · Physics 2007-05-23 L. Cantini , P. Menotti , D. Seminara

We consider the induced $2$d-gravity in the minisuperspace approach. The general solution to the Wheeler-DeWitt equation is given in terms of different kind of Bessel functions of purely real or imaginary orders. We study the properties of…

General Relativity and Quantum Cosmology · Physics 2011-04-20 J. Navarro-Salas , M. Navarro , V. Aldaya

We formulate and analyze the Hamiltonian dynamics of a pair of massive spinless point particles in (2+1)-dimensional Einstein gravity by anchoring the system to a conical infinity, isometric to the infinity generated by a single massive but…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jorma Louko , Hans-Juergen Matschull