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- Piotr T. Chruściel

Mathematics

Austria

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
61
Citations
9,438
219
World Ranking
366
National Ranking
6

2023 - Research.com Mathematics in Austria Leader Award

- Quantum mechanics
- General relativity
- Mathematical analysis

Piotr T. Chruściel mostly deals with Mathematical analysis, Mathematical physics, Pure mathematics, Classical mechanics and Event horizon. He interconnects Curvature and Einstein's constant in the investigation of issues within Mathematical analysis. The concepts of his Mathematical physics study are interwoven with issues in Hamiltonian, Boundary and Boundary value problem.

His Pure mathematics research is multidisciplinary, incorporating elements of Riemannian Penrose inequality and Metric. His studies in Event horizon integrate themes in fields like Gravitation and Theoretical physics. In his research on the topic of Theoretical physics, General relativity is strongly related with Dark energy.

- Stationary Black Holes: Uniqueness and Beyond (383 citations)
- The mass of asymptotically hyperbolic Riemannian manifolds (240 citations)
- Black holes, gravitational waves and fundamental physics: a roadmap (232 citations)

The scientist’s investigation covers issues in Mathematical physics, Mathematical analysis, Pure mathematics, Classical mechanics and Cosmological constant. His Mathematical physics research incorporates elements of Infinity and Space. Piotr T. Chruściel integrates Mathematical analysis with Construct in his study.

His Pure mathematics research incorporates themes from Event horizon, General relativity, Class and Metric. His Event horizon course of study focuses on Theoretical physics and Uniqueness and Cosmology. His studies deal with areas such as Lambda and Conformal map as well as Cosmological constant.

- Mathematical physics (37.61%)
- Mathematical analysis (29.65%)
- Pure mathematics (24.78%)

- Cosmological constant (20.80%)
- Mathematical physics (37.61%)
- Energy (4.87%)

His main research concerns Cosmological constant, Mathematical physics, Energy, Pure mathematics and Infinity. His studies deal with areas such as Space, Boson, Gravitational field and Metric as well as Cosmological constant. Piotr T. Chruściel combines subjects such as Kretschmann scalar and Schwarzschild radius with his study of Mathematical physics.

His research in Pure mathematics is mostly focused on Differentiable function. His research investigates the connection between Uniqueness and topics such as Degenerate energy levels that intersect with problems in Theoretical physics. His Gravitational wave research is multidisciplinary, relying on both Cosmology, Dark energy, Gravitation and Vacuum energy.

- Black holes, gravitational waves and fundamental physics: a roadmap (232 citations)
- Black holes, gravitational waves and fundamental physics: a roadmap (232 citations)
- On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds (13 citations)

- Quantum mechanics
- General relativity
- Mathematical analysis

Piotr T. Chruściel focuses on Pure mathematics, Infinity, Conformal map, Theoretical physics and Energy. His research in Pure mathematics intersects with topics in Class and Null. His work carried out in the field of Infinity brings together such families of science as Positive energy theorem, Euclidean geometry, Carry, Preprint and Energy condition.

His research integrates issues of Cosmological constant, Mathematical physics and Character in his study of Conformal map. His Theoretical physics research incorporates themes from Cosmology, Gravitational wave and Event horizon. The various areas that Piotr T. Chruściel examines in his Energy study include Discrete mathematics, Conjecture, Manifold and Spacetime.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Stationary Black Holes: Uniqueness and Beyond

Piotr T. Chruściel;João Lopes Costa;Markus Heusler.

arXiv: General Relativity and Quantum Cosmology **(2012)**

530 Citations

Stationary Black Holes: Uniqueness and Beyond

Piotr T. Chruściel;João Lopes Costa;Markus Heusler.

Living Reviews in Relativity **(1998)**

383 Citations

Black holes, gravitational waves and fundamental physics: a roadmap.

Leor Barack;Vitor Cardoso;Samaya Nissanke;Thomas P. Sotiriou.

arXiv: General Relativity and Quantum Cosmology **(2018)**

346 Citations

Black holes, gravitational waves and fundamental physics: a roadmap

Leor Barack;Vitor Cardoso;Vitor Cardoso;Samaya Nissanke;Samaya Nissanke;Samaya Nissanke;Thomas P. Sotiriou.

Classical and Quantum Gravity **(2019)**

344 Citations

Black holes, gravitational waves and fundamental physics: a roadmap

Leor Barack;Vitor Cardoso;Vitor Cardoso;Samaya Nissanke;Samaya Nissanke;Samaya Nissanke;Thomas P. Sotiriou.

Classical and Quantum Gravity **(2019)**

344 Citations

The mass of asymptotically hyperbolic Riemannian manifolds

Piotr T. Chruściel;Marc Herzlich.

Pacific Journal of Mathematics **(2003)**

261 Citations

The mass of asymptotically hyperbolic Riemannian manifolds

Piotr T. Chruściel;Marc Herzlich.

Pacific Journal of Mathematics **(2003)**

261 Citations

On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

Lars Andersson;Piotr T. Chruściel;Helmut Friedrich.

Communications in Mathematical Physics **(1992)**

228 Citations

On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

Lars Andersson;Piotr T. Chruściel;Helmut Friedrich.

Communications in Mathematical Physics **(1992)**

228 Citations

On Mapping Properties of the General Relativistic Constraints Operator in Weighted Function Spaces, with applications

Erwann Delay;Piotr T.Chrusciel.

**(2003)**

180 Citations

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