Work

A membrane paradigm at large D

Year: 2016

Type: article

Abstract: We study SO(d + 1) invariant solutions of the classical vacuum Einstein equations in p + d + 3 dimensions. In the limit d → ∞ with p held fixed we construct a class of solutions labelled by the shape of a membrane (the event horizon), together with a ‘velocity’ field that lives on this membrane. We demonstrate that our metrics can be corrected to nonsingular solutions at first sub-leading order in d if and only if the membrane shape and ‘velocity’ field obey equations of motion which we determine. These equations define a well posed initial value problem for the membrane shape and this ‘velocity’ and so completely determine the dynamics of the black hole. They may be viewed as governing the non-linear dynamics of the light quasi normal modes of Emparan, Suzuki and Tanabe.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep04(2016)076

Authors: Sayantani Bhattacharyya, Anandita De, Shiraz Minwalla, Ravi Mohan, Arunabha Saha

Institutions: Indian Institute of Technology Kanpur, Indian Institute of Science Education and Research Pune, Tata Institute of Fundamental Research

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Israel Science Foundation, Indian Institute of Science Education and Research Mohali, Indian Institute of Science Education and Research Kolkata

OpenAlex ID: W2114295176