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- H L Melrose, J C Dächsel, +24 authors M J Farrer
- Neurobiology of disease
- 2010

Mutations in the Leucine Rich Repeat Kinase 2 (LRRK2) gene, first described in 2004 have now emerged as the most important genetic finding in both autosomal dominant and sporadic Parkinson's disease (PD). While a formidable research effort has ensued since the initial gene discovery, little is known of either the normal or the pathological role of LRRK2. We… (More)

- Sukratu Barve∗a, T. P. Singh∗b, Louis Witten
- 1999

We derive an equation for the acceleration of a fluid element in the spherical gravita-tional collapse of a bounded compact object made up of an imperfect fluid. We show that non-singular as well as singular solutions arise in the collapse of a fluid initially at rest and having only a tangential pressure. We obtain an exact solution of Einstein equations,… (More)

- Cenalo Vaz, Louis Witten
- 1995

Positive energy singularities induced by Sine-Gordon solitons in 1+1 dimensional dila-ton gravity with positive and negative cosmological constant are considered. When the cosmological constant is positive, the singularities combine a white hole, a timelike sin-gularity and a black hole joined smoothly near the soliton center. When the cosmological constant… (More)

In a previous paper we have set up the Wheeler-DeWitt equation which describes the quantum general relativistic collapse of a spherical dust cloud. In the present paper we specialize this equation to the case of matter perturbations around a black hole, and show that in the WKB approximation, the wave-functional describes an eternal black hole in… (More)

- Cenalo Vaz, Louis Witten
- 1996

A naked singularity is formed by the collapse of a Sine-Gordon soliton in 1+1 dimensional dilaton gravity with a negative cosmological constant. We examine the quantum stress tensor resulting from the formation of the singularity. Consistent boundary conditions require that the incoming soliton is accompanied by a flux of incoming radiation across past null… (More)

- T. P. Singh, Louis Witten
- 2008

We study the spherical gravitational collapse of a compact object under the approximation that the radial pressure is identically zero, and the tangential pressure p θ is related to the density ρ by a linear equation of state p θ = kρ. It turns out that the Einstein equations can be reduced to the solution of an integral for the evolution of the area… (More)

We calculate the quantum stress tensor for a massless scalar field in the 2-d self-similar spherical dust collapse model which admits a naked singularity. We find that the outgoing radiation flux diverges on the Cauchy horizon. This may have two consequences. The resultant back reaction may prevent the naked singularity from forming, thus preserving cosmic… (More)

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