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19932009
most citedApplications of the Gauss-Bonnet theorem to gravitational lensing

365 citations · 1.5k across the 23 of their papers we have counts for

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Showing 2009Show all

6 papers · 1 filter

hep-th20097 cited

The Bernstein Conjecture, Minimal Cones, and Critical Dimensions

Gary W. Gibbons, Kei-ichi Maeda, Umpei Miyamoto

Minimal surfaces and domain walls play important roles in various contexts of spacetime physics as well as material science. In this paper, we first review the Bernstein conjecture…

gr-qc20098 cited

Gravitating Opposites Attract

Robert Beig, Gary W. Gibbons, Richard M. Schoen

Generalizing previous work by two of us, we prove the non-existence of certain stationary configurations in General Relativity having a spatial reflection symmetry across a non-com…

hep-th20094 cited

Gravitational Dual of Tachyon Condensation

Gary W. Gibbons, Koji Hashimoto, Shinji Hirano

We study a system of N D3-branes in which open string tachyons survive in the low energy alpha' -> 0 limit. We compute the height of the tachyon potential both in the weak and stro…

gr-qc200917 cited

Deformed General Relativity and Torsion

Gary W. Gibbons, Steffen Gielen

We argue that the natural framework for embedding the ideas of deformed, or doubly, special relativity (DSR) into a curved spacetime is a generalisation of Einstein-Cartan theory,…

gr-qc200919 cited

Birkhoff's invariant and Thorne's Hoop Conjecture

G. W. Gibbons

I propose a sharp form of Thorne's hoop conjecture which relates Birkhoff's invariant for an outermost apparent horizon to its mass, . I prove the conje…

hep-th200910 cited

Repulsons in the Myers-Perry Family

Gary Gibbons, Hideo Kodama

In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do…