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

The Asymptotic Structure of Gravity in Higher Even Dimensions

Not scheduled
Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Chandramouli Chowdhury (ICTS-TIFR)


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)

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