Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

The Asymptotic Structure of Gravity in Higher Even Dimensions

Not scheduled
20m
Audimax (University of Vienna)

Audimax

University of Vienna

Universitätsring 1, 1010 Vienna, Austria

Speaker

Chandramouli Chowdhury (ICTS-TIFR)

Description

We investigate the notion of asymptotic symmetries in classical gravity in higher even dimensions, with $D=6$ space-time dimensions as the prototype. Unlike in four dimensions, certain non-linearities persist which necessitates the complete non-linear analysis we undertake. We show that the free data is parametrized by a pair of symmetric trace-free tensors at future (past) null infinity. This involves a redefinition of the radiative field. We define a symplectic structure generating the radiative phase space at $\mathcal{I}^{\pm}$ with appropriate boundary conditions which are preserved by the action of supertranslations. We derive the charge associated to super-translation vector fields and this charge matches with that derived using the equations of motion in the full non-linear theory. We elaborate on the precise relationship between the super-translation charge, the Bondi mass aspect and the "gravitational memory" in six space-time dimensions, thus providing the first example of an infrared triangle in non-linear gravity beyond four dimensions.

Primary authors

Chandramouli Chowdhury (ICTS-TIFR) Ms Ruchira Mishra (University of Chicago) Dr Siddharth Prabhu (TIFR)

Presentation materials

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