Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter

Generalized Lense-Thirring spacetimes: higher curvature corrections and solutions with matter

Speaker’s name:

David Kubizňák

Speaker’s affiliation:

ÚTF MFF UK

Place:

Institute of Mathematics of ASCR, Zitna 25, Praha 1

rear building, ground floor

rear building, ground floor

Date:

Thursday, 3. March 2022 - 13:30 to 14:30

Abstract:

The Lense-Thirring spacetime describes a 4-dimensional slowly rotating approximate

solution of vacuum Einstein equations valid to a linear order in rotation parameter.

It is fully characterized by a single metric function of the corresponding static

(Schwarzschild) solution. We shall discuss a generalization of the Lense-Thirring

spacetimes to the case that is not necessarily fully characterized by a single (static)

metric function. This generalization lets us study slowly rotating spacetimes in

various higher curvature gravities as well as in the presence of non-trivial matter

such as non-linear electrodynamics. In particular, we construct slowly multiply-spinning

solutions in Lovelock gravity and notably show that in four dimensions Einstein gravity is

the only non-trivial theory amongst all up to quartic curvature gravities that

admits a Lense-Thirring solution characterized by a single metric function.

We will also show discuss a `magic square' version of our ansatz and show that it

can be cast in the Painlevé-Gullstrand form (and thence is manifestly regular on

the horizon) and admits a tower of exact rank-2 and higher rank Killing tensors

that rapidly grows with the number of dimensions.

solution of vacuum Einstein equations valid to a linear order in rotation parameter.

It is fully characterized by a single metric function of the corresponding static

(Schwarzschild) solution. We shall discuss a generalization of the Lense-Thirring

spacetimes to the case that is not necessarily fully characterized by a single (static)

metric function. This generalization lets us study slowly rotating spacetimes in

various higher curvature gravities as well as in the presence of non-trivial matter

such as non-linear electrodynamics. In particular, we construct slowly multiply-spinning

solutions in Lovelock gravity and notably show that in four dimensions Einstein gravity is

the only non-trivial theory amongst all up to quartic curvature gravities that

admits a Lense-Thirring solution characterized by a single metric function.

We will also show discuss a `magic square' version of our ansatz and show that it

can be cast in the Painlevé-Gullstrand form (and thence is manifestly regular on

the horizon) and admits a tower of exact rank-2 and higher rank Killing tensors

that rapidly grows with the number of dimensions.