##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry

## Po-Ning Chen

#### UC Riverside

## Quasi-local energy in presence of gravitational radiations

##### Abstract:

In this talk, we discuss results on gravitational perturbations of black holes by evaluating quasi-local mass on surfaces of fixed size at the null infinity in a gravitational radiation. In particular, a general theorem regarding the decay rate of the quasi-local energy-momentum at infinity is proved and is applied to study the gravitational perturbation of the Schwarzschild solution. The theorem associates a 4-vector to each loop near null infinity, which encodes the distinctive features of a gravitational wave.

Organizer: Lei Ni

### October 26, 2016

### 3:00 PM

### AP&M 7321

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