# Dr Erik Baxter PhD

Senior Lecturer

## Summary

I am a Senior Lecturer at Sheffield Hallam University, teaching at all levels and supervising undergraduate dissertation students each year on various mathematical physics topics such as black holes, warp field theory, time travel models, and solutions to Schrodinger's equation.

My interests in maths and physics include most things quantum and relativistic, but my focus just now is SU(N) EYM theory in anti de-Sitter space; specifically, aspects of black holes and solitons in a range of general cases.

## Teaching

College of Business, Technology and Engineering

## Publications

Baxter, J.E., & Winstanley, E. (2016). Topological black holes in su(N) Einstein-Yang-Mills theory with a negative cosmological constant. Physics Letters B, 753, 268-273. http://doi.org/10.1016/j.physletb.2015.12.023

Baxter, J.E., & Winstanley, E. (2016). On the stability of soliton and hairy black hole solutions of SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. Journal of Mathematical Physics, 57 (2), 022506. http://doi.org/10.1063/1.4940694

Baxter, J.E. (2016). Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory. Journal of Mathematical Physics, 57 (2), 022505. http://doi.org/10.1063/1.4940337

Baxter, E. (2014). On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant. General Relativity and Gravitation, 47 (1), 1829. http://doi.org/10.1007/s10714-014-1829-5

Baxter, E., & Winstanley, E. (2008). On the existence of soliton and hairy black hole solutions of SU(N) Einstein–Yang–Mills theory with a negative cosmological constant. Classical and Quantum Gravity, 25 (24), 245014. http://doi.org/10.1088/0264-9381/25/24/245014

Baxter, E., Helbling, M., & Winstanley, E. (2008). Abundant Stable Gauge Field Hair for Black Holes in Anti–de Sitter Space. Physical Review Letters, 100 (1). http://doi.org/10.1103/PhysRevLett.100.011301

Baxter, E., Helbling, M., & Winstanley, E. (2007). Soliton and black hole solutions of SU(N) Einstein-Yang-Mills theory in anti-de Sitter space. Physical Review D, 76 (10). http://doi.org/10.1103/PhysRevD.76.104017

Baxter, J.E. (n.d.). Stable topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with $Λ<0$. .

Baxter, J.E. (n.d.). Globally regular solutions to dyonic anti-de Sitter $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory -- Existence and characterising charges. .

Baxter, J.E. (n.d.). Stable furry black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinitude of global charges. .