activity
19922023
most citedHilbert Space Representation of the Minimal Length Uncertainty Relation

2k citations · 24.3k across the 418 of their papers we have counts for

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Showing 2006 · gr-qcShow all

7 papers · 2 filters

gr-qc2006★ 18 cited

N-body Gravity and the Schroedinger Equation

P. S. Farrugia, R. B. Mann, T. C. Scott

We consider the problem of the motion of bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanica…

gr-qc2006★ 10 cited

Perturbative Quantum Gravity Coupled to Particles in (1+1)-Dimensions

R. B. Mann, M. B. Young

We consider the problem of (1+1)-dimensional quantum gravity coupled to particles. Working with the canonically reduced Hamiltonian, we obtain its post-Newtonian expansion for two…

gr-qc2006★ 39 cited

Accelerating Taub-NUT and Eguchi-Hanson solitons in four dimensions

Brenda Chng, Robert Mann, Cristian Stelea

We construct new solutions of the vacuum Einstein field equations in four dimensions via a solution generating method utilizing the SL(2,R) symmetry of the reduced Lagrangian. We a…

gr-qc2006★ 2 cited

Higher Gauge Theory and Gravity in (2+1) Dimensions

R. B. Mann, Eugeniu M. Popescu

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and…

gr-qc2006★ 74 cited

Covariant Counterterms and Conserved Charges in Asymptotically Flat Spacetimes

Robert B. Mann, Donald Marolf, Amitabh Virmani

Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat sp…

gr-qc2006★ 49 cited

Black hole formation in the head-on collision of ultrarelativistic charges

Hirotaka Yoshino, Robert B. Mann

We study black hole formation in the head-on collision of ultrarelativistic charges. The metric of charged particles is obtained by boosting the Reissner-Nordström spacetime to the…

gr-qc2006★ 401 cited

Tunnelling, Temperature and Taub-NUT Black Holes

Ryan Kerner, R. B. Mann

We investigate quantum tunnelling methods for calculating black hole temperature, specifically the null geodesic method of Parikh and Wilczek and the Hamilton-Jacobi Ansatz method…